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Finding the Fourth Proportional to 5,242.34, 7,862.29 and 2,470.93

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Solution

The fourth proportional to 5,242.34, 7,862.29 and 2,470.93 is: 3,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.34 : 7,862.29 = 2,470.93 : x
  2. Step 2: Convert to fraction form
    5,242.34/7,862.29 = 2,470.93/x
  3. Step 3: Cross multiply
    5,242.34x = 7,862.29 × 2,470.93
  4. Step 4: Simplify right side
    5,242.34x = 19,427,168.23
  5. Step 5: Solve for x
    x = 19,427,168.23/5,242.34
  6. Step 6: Final answer
    x = 3,705.82

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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.