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Finding the Fourth Proportional to 4,652.92, 6,421.08 and 2,557

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Solution

The fourth proportional to 4,652.92, 6,421.08 and 2,557 is: 3,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.92 : 6,421.08 = 2,557 : x
  2. Step 2: Convert to fraction form
    4,652.92/6,421.08 = 2,557/x
  3. Step 3: Cross multiply
    4,652.92x = 6,421.08 × 2,557
  4. Step 4: Simplify right side
    4,652.92x = 16,418,701.56
  5. Step 5: Solve for x
    x = 16,418,701.56/4,652.92
  6. Step 6: Final answer
    x = 3,528.69

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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.