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Finding the Fourth Proportional to 6,421.78, 8,862.47 and 3,589.17

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Solution

The fourth proportional to 6,421.78, 8,862.47 and 3,589.17 is: 4,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.78 : 8,862.47 = 3,589.17 : x
  2. Step 2: Convert to fraction form
    6,421.78/8,862.47 = 3,589.17/x
  3. Step 3: Cross multiply
    6,421.78x = 8,862.47 × 3,589.17
  4. Step 4: Simplify right side
    6,421.78x = 31,808,911.45
  5. Step 5: Solve for x
    x = 31,808,911.45/6,421.78
  6. Step 6: Final answer
    x = 4,953.29

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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.