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Finding the Fourth Proportional to 5,025.76, 7,539.91 and 2,947.50

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Solution

The fourth proportional to 5,025.76, 7,539.91 and 2,947.50 is: 4,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.76 : 7,539.91 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    5,025.76/7,539.91 = 2,947.50/x
  3. Step 3: Cross multiply
    5,025.76x = 7,539.91 × 2,947.50
  4. Step 4: Simplify right side
    5,025.76x = 22,223,877.36
  5. Step 5: Solve for x
    x = 22,223,877.36/5,025.76
  6. Step 6: Final answer
    x = 4,422.00

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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.