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Finding the Fourth Proportional to 4,548, 6,275.76 and 2,557.92

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Solution

The fourth proportional to 4,548, 6,275.76 and 2,557.92 is: 3,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548 : 6,275.76 = 2,557.92 : x
  2. Step 2: Convert to fraction form
    4,548/6,275.76 = 2,557.92/x
  3. Step 3: Cross multiply
    4,548x = 6,275.76 × 2,557.92
  4. Step 4: Simplify right side
    4,548x = 16,052,892.02
  5. Step 5: Solve for x
    x = 16,052,892.02/4,548
  6. Step 6: Final answer
    x = 3,529.66

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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.