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Finding the Fourth Proportional to 5,674,838.69, 7,831,466.42 and 3,096,660.93

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Solution

The fourth proportional to 5,674,838.69, 7,831,466.42 and 3,096,660.93 is: 4,273,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,838.69 : 7,831,466.42 = 3,096,660.93 : x
  2. Step 2: Convert to fraction form
    5,674,838.69/7,831,466.42 = 3,096,660.93/x
  3. Step 3: Cross multiply
    5,674,838.69x = 7,831,466.42 × 3,096,660.93
  4. Step 4: Simplify right side
    5,674,838.69x = 24,251,396,104,040.38
  5. Step 5: Solve for x
    x = 24,251,396,104,040.38/5,674,838.69
  6. Step 6: Final answer
    x = 4,273,495.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.