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Finding the Fourth Proportional to 4,655.68, 6,424.52 and 2,559.66

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Solution

The fourth proportional to 4,655.68, 6,424.52 and 2,559.66 is: 3,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.68 : 6,424.52 = 2,559.66 : x
  2. Step 2: Convert to fraction form
    4,655.68/6,424.52 = 2,559.66/x
  3. Step 3: Cross multiply
    4,655.68x = 6,424.52 × 2,559.66
  4. Step 4: Simplify right side
    4,655.68x = 16,444,586.86
  5. Step 5: Solve for x
    x = 16,444,586.86/4,655.68
  6. Step 6: Final answer
    x = 3,532.16

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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.