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Finding the Fourth Proportional to 4,773.52, 7,159.86 and 1,310.77

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Solution

The fourth proportional to 4,773.52, 7,159.86 and 1,310.77 is: 1,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.52 : 7,159.86 = 1,310.77 : x
  2. Step 2: Convert to fraction form
    4,773.52/7,159.86 = 1,310.77/x
  3. Step 3: Cross multiply
    4,773.52x = 7,159.86 × 1,310.77
  4. Step 4: Simplify right side
    4,773.52x = 9,384,929.69
  5. Step 5: Solve for x
    x = 9,384,929.69/4,773.52
  6. Step 6: Final answer
    x = 1,966.04

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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.