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Finding the Fourth Proportional to 5,426.64, 7,484.81 and 4,153.38

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Solution

The fourth proportional to 5,426.64, 7,484.81 and 4,153.38 is: 5,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.64 : 7,484.81 = 4,153.38 : x
  2. Step 2: Convert to fraction form
    5,426.64/7,484.81 = 4,153.38/x
  3. Step 3: Cross multiply
    5,426.64x = 7,484.81 × 4,153.38
  4. Step 4: Simplify right side
    5,426.64x = 31,087,239.39
  5. Step 5: Solve for x
    x = 31,087,239.39/5,426.64
  6. Step 6: Final answer
    x = 5,728.63

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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.