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Finding the Fourth Proportional to 4,655.52, 6,424.64 and 2,559.64

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Solution

The fourth proportional to 4,655.52, 6,424.64 and 2,559.64 is: 3,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.52 : 6,424.64 = 2,559.64 : x
  2. Step 2: Convert to fraction form
    4,655.52/6,424.64 = 2,559.64/x
  3. Step 3: Cross multiply
    4,655.52x = 6,424.64 × 2,559.64
  4. Step 4: Simplify right side
    4,655.52x = 16,444,765.53
  5. Step 5: Solve for x
    x = 16,444,765.53/4,655.52
  6. Step 6: Final answer
    x = 3,532.32

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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.