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Finding the Fourth Proportional to 4,909.48, 6,775.70 and 3,046.76

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Solution

The fourth proportional to 4,909.48, 6,775.70 and 3,046.76 is: 4,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.48 : 6,775.70 = 3,046.76 : x
  2. Step 2: Convert to fraction form
    4,909.48/6,775.70 = 3,046.76/x
  3. Step 3: Cross multiply
    4,909.48x = 6,775.70 × 3,046.76
  4. Step 4: Simplify right side
    4,909.48x = 20,643,931.73
  5. Step 5: Solve for x
    x = 20,643,931.73/4,909.48
  6. Step 6: Final answer
    x = 4,204.91

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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.