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Finding the Fourth Proportional to 3,730, 5,583.64 and 2,487.48

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Solution

The fourth proportional to 3,730, 5,583.64 and 2,487.48 is: 3,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730 : 5,583.64 = 2,487.48 : x
  2. Step 2: Convert to fraction form
    3,730/5,583.64 = 2,487.48/x
  3. Step 3: Cross multiply
    3,730x = 5,583.64 × 2,487.48
  4. Step 4: Simplify right side
    3,730x = 13,889,192.83
  5. Step 5: Solve for x
    x = 13,889,192.83/3,730
  6. Step 6: Final answer
    x = 3,723.64

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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.