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Finding the Fourth Proportional to 4,671.52, 6,446.68 and 2,575.76

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Solution

The fourth proportional to 4,671.52, 6,446.68 and 2,575.76 is: 3,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.52 : 6,446.68 = 2,575.76 : x
  2. Step 2: Convert to fraction form
    4,671.52/6,446.68 = 2,575.76/x
  3. Step 3: Cross multiply
    4,671.52x = 6,446.68 × 2,575.76
  4. Step 4: Simplify right side
    4,671.52x = 16,605,100.48
  5. Step 5: Solve for x
    x = 16,605,100.48/4,671.52
  6. Step 6: Final answer
    x = 3,554.54

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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.