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Finding the Fourth Proportional to 4,372.64, 6,034.36 and 2,605.20

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Solution

The fourth proportional to 4,372.64, 6,034.36 and 2,605.20 is: 3,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372.64 : 6,034.36 = 2,605.20 : x
  2. Step 2: Convert to fraction form
    4,372.64/6,034.36 = 2,605.20/x
  3. Step 3: Cross multiply
    4,372.64x = 6,034.36 × 2,605.20
  4. Step 4: Simplify right side
    4,372.64x = 15,720,714.67
  5. Step 5: Solve for x
    x = 15,720,714.67/4,372.64
  6. Step 6: Final answer
    x = 3,595.25

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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.