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Finding the Fourth Proportional to 4,655.60, 6,424.65 and 2,559.71

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Solution

The fourth proportional to 4,655.60, 6,424.65 and 2,559.71 is: 3,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.60 : 6,424.65 = 2,559.71 : x
  2. Step 2: Convert to fraction form
    4,655.60/6,424.65 = 2,559.71/x
  3. Step 3: Cross multiply
    4,655.60x = 6,424.65 × 2,559.71
  4. Step 4: Simplify right side
    4,655.60x = 16,445,240.85
  5. Step 5: Solve for x
    x = 16,445,240.85/4,655.60
  6. Step 6: Final answer
    x = 3,532.36

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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.