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Finding the Fourth Proportional to 3,248.64, 4,876 and 1,710.72

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Solution

The fourth proportional to 3,248.64, 4,876 and 1,710.72 is: 2,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.64 : 4,876 = 1,710.72 : x
  2. Step 2: Convert to fraction form
    3,248.64/4,876 = 1,710.72/x
  3. Step 3: Cross multiply
    3,248.64x = 4,876 × 1,710.72
  4. Step 4: Simplify right side
    3,248.64x = 8,341,470.72
  5. Step 5: Solve for x
    x = 8,341,470.72/3,248.64
  6. Step 6: Final answer
    x = 2,567.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.