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Finding the Fourth Proportional to 4,294.38, 6,440.01 and 1,952.40

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Solution

The fourth proportional to 4,294.38, 6,440.01 and 1,952.40 is: 2,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.38 : 6,440.01 = 1,952.40 : x
  2. Step 2: Convert to fraction form
    4,294.38/6,440.01 = 1,952.40/x
  3. Step 3: Cross multiply
    4,294.38x = 6,440.01 × 1,952.40
  4. Step 4: Simplify right side
    4,294.38x = 12,573,475.52
  5. Step 5: Solve for x
    x = 12,573,475.52/4,294.38
  6. Step 6: Final answer
    x = 2,927.89

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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.