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Finding the Fourth Proportional to 4,097.32, 5,655.72 and 2,525.56

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Solution

The fourth proportional to 4,097.32, 5,655.72 and 2,525.56 is: 3,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.32 : 5,655.72 = 2,525.56 : x
  2. Step 2: Convert to fraction form
    4,097.32/5,655.72 = 2,525.56/x
  3. Step 3: Cross multiply
    4,097.32x = 5,655.72 × 2,525.56
  4. Step 4: Simplify right side
    4,097.32x = 14,283,860.20
  5. Step 5: Solve for x
    x = 14,283,860.20/4,097.32
  6. Step 6: Final answer
    x = 3,486.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.