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Finding the Fourth Proportional to 4,350.65, 6,514.38 and 2,966.70

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Solution

The fourth proportional to 4,350.65, 6,514.38 and 2,966.70 is: 4,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.65 : 6,514.38 = 2,966.70 : x
  2. Step 2: Convert to fraction form
    4,350.65/6,514.38 = 2,966.70/x
  3. Step 3: Cross multiply
    4,350.65x = 6,514.38 × 2,966.70
  4. Step 4: Simplify right side
    4,350.65x = 19,326,211.15
  5. Step 5: Solve for x
    x = 19,326,211.15/4,350.65
  6. Step 6: Final answer
    x = 4,442.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.