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Finding the Fourth Proportional to 4,775.76, 7,166.52 and 1,856.52

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Solution

The fourth proportional to 4,775.76, 7,166.52 and 1,856.52 is: 2,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 7,166.52 = 1,856.52 : x
  2. Step 2: Convert to fraction form
    4,775.76/7,166.52 = 1,856.52/x
  3. Step 3: Cross multiply
    4,775.76x = 7,166.52 × 1,856.52
  4. Step 4: Simplify right side
    4,775.76x = 13,304,787.71
  5. Step 5: Solve for x
    x = 13,304,787.71/4,775.76
  6. Step 6: Final answer
    x = 2,785.90

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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.