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Finding the Fourth Proportional to 4,862.43, 7,294.32 and 1,574.46

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Solution

The fourth proportional to 4,862.43, 7,294.32 and 1,574.46 is: 2,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.43 : 7,294.32 = 1,574.46 : x
  2. Step 2: Convert to fraction form
    4,862.43/7,294.32 = 1,574.46/x
  3. Step 3: Cross multiply
    4,862.43x = 7,294.32 × 1,574.46
  4. Step 4: Simplify right side
    4,862.43x = 11,484,615.07
  5. Step 5: Solve for x
    x = 11,484,615.07/4,862.43
  6. Step 6: Final answer
    x = 2,361.91

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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.