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Finding the Fourth Proportional to 5,406.84, 7,461.69 and 3,048.93

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Solution

The fourth proportional to 5,406.84, 7,461.69 and 3,048.93 is: 4,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.84 : 7,461.69 = 3,048.93 : x
  2. Step 2: Convert to fraction form
    5,406.84/7,461.69 = 3,048.93/x
  3. Step 3: Cross multiply
    5,406.84x = 7,461.69 × 3,048.93
  4. Step 4: Simplify right side
    5,406.84x = 22,750,117.94
  5. Step 5: Solve for x
    x = 22,750,117.94/5,406.84
  6. Step 6: Final answer
    x = 4,207.66

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