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Finding the Fourth Proportional to 4,299.60, 6,442.86 and 1,958.24

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Solution

The fourth proportional to 4,299.60, 6,442.86 and 1,958.24 is: 2,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.60 : 6,442.86 = 1,958.24 : x
  2. Step 2: Convert to fraction form
    4,299.60/6,442.86 = 1,958.24/x
  3. Step 3: Cross multiply
    4,299.60x = 6,442.86 × 1,958.24
  4. Step 4: Simplify right side
    4,299.60x = 12,616,666.17
  5. Step 5: Solve for x
    x = 12,616,666.17/4,299.60
  6. Step 6: Final answer
    x = 2,934.38

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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.