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Finding the Fourth Proportional to 4,792.71, 7,188.52 and 1,283.08

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Solution

The fourth proportional to 4,792.71, 7,188.52 and 1,283.08 is: 1,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.71 : 7,188.52 = 1,283.08 : x
  2. Step 2: Convert to fraction form
    4,792.71/7,188.52 = 1,283.08/x
  3. Step 3: Cross multiply
    4,792.71x = 7,188.52 × 1,283.08
  4. Step 4: Simplify right side
    4,792.71x = 9,223,439.83
  5. Step 5: Solve for x
    x = 9,223,439.83/4,792.71
  6. Step 6: Final answer
    x = 1,924.47

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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.