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Finding the Fourth Proportional to 4,655.13, 6,424.10 and 2,559.25

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Solution

The fourth proportional to 4,655.13, 6,424.10 and 2,559.25 is: 3,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.13 : 6,424.10 = 2,559.25 : x
  2. Step 2: Convert to fraction form
    4,655.13/6,424.10 = 2,559.25/x
  3. Step 3: Cross multiply
    4,655.13x = 6,424.10 × 2,559.25
  4. Step 4: Simplify right side
    4,655.13x = 16,440,877.93
  5. Step 5: Solve for x
    x = 16,440,877.93/4,655.13
  6. Step 6: Final answer
    x = 3,531.78

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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.