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Finding the Fourth Proportional to 5,681.43, 7,821.23 and 4,685.13

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Solution

The fourth proportional to 5,681.43, 7,821.23 and 4,685.13 is: 6,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.43 : 7,821.23 = 4,685.13 : x
  2. Step 2: Convert to fraction form
    5,681.43/7,821.23 = 4,685.13/x
  3. Step 3: Cross multiply
    5,681.43x = 7,821.23 × 4,685.13
  4. Step 4: Simplify right side
    5,681.43x = 36,643,455.88
  5. Step 5: Solve for x
    x = 36,643,455.88/5,681.43
  6. Step 6: Final answer
    x = 6,449.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.