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Finding the Fourth Proportional to 5,806.24, 8,710.80 and 1,702.24

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Solution

The fourth proportional to 5,806.24, 8,710.80 and 1,702.24 is: 2,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.24 : 8,710.80 = 1,702.24 : x
  2. Step 2: Convert to fraction form
    5,806.24/8,710.80 = 1,702.24/x
  3. Step 3: Cross multiply
    5,806.24x = 8,710.80 × 1,702.24
  4. Step 4: Simplify right side
    5,806.24x = 14,827,872.19
  5. Step 5: Solve for x
    x = 14,827,872.19/5,806.24
  6. Step 6: Final answer
    x = 2,553.78

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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.