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Finding the Fourth Proportional to 3,740.32, 5,610.71 and 1,549.22

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Solution

The fourth proportional to 3,740.32, 5,610.71 and 1,549.22 is: 2,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.32 : 5,610.71 = 1,549.22 : x
  2. Step 2: Convert to fraction form
    3,740.32/5,610.71 = 1,549.22/x
  3. Step 3: Cross multiply
    3,740.32x = 5,610.71 × 1,549.22
  4. Step 4: Simplify right side
    3,740.32x = 8,692,224.15
  5. Step 5: Solve for x
    x = 8,692,224.15/3,740.32
  6. Step 6: Final answer
    x = 2,323.93

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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.