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Finding the Fourth Proportional to 4,046.80, 5,445.86 and 4,046.80

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Solution

The fourth proportional to 4,046.80, 5,445.86 and 4,046.80 is: 5,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.80 : 5,445.86 = 4,046.80 : x
  2. Step 2: Convert to fraction form
    4,046.80/5,445.86 = 4,046.80/x
  3. Step 3: Cross multiply
    4,046.80x = 5,445.86 × 4,046.80
  4. Step 4: Simplify right side
    4,046.80x = 22,038,306.25
  5. Step 5: Solve for x
    x = 22,038,306.25/4,046.80
  6. Step 6: Final answer
    x = 5,445.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.