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Finding the Fourth Proportional to 5,837.40, 8,765.82 and 5,643

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Solution

The fourth proportional to 5,837.40, 8,765.82 and 5,643 is: 8,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.40 : 8,765.82 = 5,643 : x
  2. Step 2: Convert to fraction form
    5,837.40/8,765.82 = 5,643/x
  3. Step 3: Cross multiply
    5,837.40x = 8,765.82 × 5,643
  4. Step 4: Simplify right side
    5,837.40x = 49,465,522.26
  5. Step 5: Solve for x
    x = 49,465,522.26/5,837.40
  6. Step 6: Final answer
    x = 8,473.90

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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.