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Finding the Fourth Proportional to 3,734.46, 5,563.37 and 3,565.98

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Solution

The fourth proportional to 3,734.46, 5,563.37 and 3,565.98 is: 5,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.46 : 5,563.37 = 3,565.98 : x
  2. Step 2: Convert to fraction form
    3,734.46/5,563.37 = 3,565.98/x
  3. Step 3: Cross multiply
    3,734.46x = 5,563.37 × 3,565.98
  4. Step 4: Simplify right side
    3,734.46x = 19,838,866.15
  5. Step 5: Solve for x
    x = 19,838,866.15/3,734.46
  6. Step 6: Final answer
    x = 5,312.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.