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Finding the Fourth Proportional to 5,137.70, 7,706.51 and 1,242.10

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Solution

The fourth proportional to 5,137.70, 7,706.51 and 1,242.10 is: 1,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.70 : 7,706.51 = 1,242.10 : x
  2. Step 2: Convert to fraction form
    5,137.70/7,706.51 = 1,242.10/x
  3. Step 3: Cross multiply
    5,137.70x = 7,706.51 × 1,242.10
  4. Step 4: Simplify right side
    5,137.70x = 9,572,264.15
  5. Step 5: Solve for x
    x = 9,572,264.15/5,137.70
  6. Step 6: Final answer
    x = 1,863.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.