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Finding the Fourth Proportional to 3,437.74, 5,157.02 and 2,577.52

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Solution

The fourth proportional to 3,437.74, 5,157.02 and 2,577.52 is: 3,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.74 : 5,157.02 = 2,577.52 : x
  2. Step 2: Convert to fraction form
    3,437.74/5,157.02 = 2,577.52/x
  3. Step 3: Cross multiply
    3,437.74x = 5,157.02 × 2,577.52
  4. Step 4: Simplify right side
    3,437.74x = 13,292,322.19
  5. Step 5: Solve for x
    x = 13,292,322.19/3,437.74
  6. Step 6: Final answer
    x = 3,866.59

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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.