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Finding the Fourth Proportional to 4,678.54, 6,454.72 and 3,000.85

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Solution

The fourth proportional to 4,678.54, 6,454.72 and 3,000.85 is: 4,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.54 : 6,454.72 = 3,000.85 : x
  2. Step 2: Convert to fraction form
    4,678.54/6,454.72 = 3,000.85/x
  3. Step 3: Cross multiply
    4,678.54x = 6,454.72 × 3,000.85
  4. Step 4: Simplify right side
    4,678.54x = 19,369,634.13
  5. Step 5: Solve for x
    x = 19,369,634.13/4,678.54
  6. Step 6: Final answer
    x = 4,140.10

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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.