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Finding the Fourth Proportional to 3,915.60, 5,875.25 and 1,969.17

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Solution

The fourth proportional to 3,915.60, 5,875.25 and 1,969.17 is: 2,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.60 : 5,875.25 = 1,969.17 : x
  2. Step 2: Convert to fraction form
    3,915.60/5,875.25 = 1,969.17/x
  3. Step 3: Cross multiply
    3,915.60x = 5,875.25 × 1,969.17
  4. Step 4: Simplify right side
    3,915.60x = 11,569,356.20
  5. Step 5: Solve for x
    x = 11,569,356.20/3,915.60
  6. Step 6: Final answer
    x = 2,954.68

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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.