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Finding the Fourth Proportional to 4,655.78, 6,424.98 and 2,531.30

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Solution

The fourth proportional to 4,655.78, 6,424.98 and 2,531.30 is: 3,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.78 : 6,424.98 = 2,531.30 : x
  2. Step 2: Convert to fraction form
    4,655.78/6,424.98 = 2,531.30/x
  3. Step 3: Cross multiply
    4,655.78x = 6,424.98 × 2,531.30
  4. Step 4: Simplify right side
    4,655.78x = 16,263,551.87
  5. Step 5: Solve for x
    x = 16,263,551.87/4,655.78
  6. Step 6: Final answer
    x = 3,493.20

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Why These Related Problems?

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