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Finding the Fourth Proportional to 5,805.65, 8,702.52 and 2,294.24

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Solution

The fourth proportional to 5,805.65, 8,702.52 and 2,294.24 is: 3,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.65 : 8,702.52 = 2,294.24 : x
  2. Step 2: Convert to fraction form
    5,805.65/8,702.52 = 2,294.24/x
  3. Step 3: Cross multiply
    5,805.65x = 8,702.52 × 2,294.24
  4. Step 4: Simplify right side
    5,805.65x = 19,965,614.50
  5. Step 5: Solve for x
    x = 19,965,614.50/5,805.65
  6. Step 6: Final answer
    x = 3,439.00

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1.5x scale

Why These Related Problems?

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