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Finding the Fourth Proportional to 3,520.52, 5,280.36 and 923.64

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Solution

The fourth proportional to 3,520.52, 5,280.36 and 923.64 is: 1,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.52 : 5,280.36 = 923.64 : x
  2. Step 2: Convert to fraction form
    3,520.52/5,280.36 = 923.64/x
  3. Step 3: Cross multiply
    3,520.52x = 5,280.36 × 923.64
  4. Step 4: Simplify right side
    3,520.52x = 4,877,151.71
  5. Step 5: Solve for x
    x = 4,877,151.71/3,520.52
  6. Step 6: Final answer
    x = 1,385.35

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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.