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Finding the Fourth Proportional to 5,702.34, 8,553.74 and 1,806.66

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Solution

The fourth proportional to 5,702.34, 8,553.74 and 1,806.66 is: 2,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.34 : 8,553.74 = 1,806.66 : x
  2. Step 2: Convert to fraction form
    5,702.34/8,553.74 = 1,806.66/x
  3. Step 3: Cross multiply
    5,702.34x = 8,553.74 × 1,806.66
  4. Step 4: Simplify right side
    5,702.34x = 15,453,699.91
  5. Step 5: Solve for x
    x = 15,453,699.91/5,702.34
  6. Step 6: Final answer
    x = 2,710.06

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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.