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Finding the Fourth Proportional to 6,142.40, 8,469.08 and 4,780.06

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Solution

The fourth proportional to 6,142.40, 8,469.08 and 4,780.06 is: 6,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.40 : 8,469.08 = 4,780.06 : x
  2. Step 2: Convert to fraction form
    6,142.40/8,469.08 = 4,780.06/x
  3. Step 3: Cross multiply
    6,142.40x = 8,469.08 × 4,780.06
  4. Step 4: Simplify right side
    6,142.40x = 40,482,710.54
  5. Step 5: Solve for x
    x = 40,482,710.54/6,142.40
  6. Step 6: Final answer
    x = 6,590.70

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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.