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Finding the Fourth Proportional to 6,419.12, 8,862.63 and 4,297.38

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Solution

The fourth proportional to 6,419.12, 8,862.63 and 4,297.38 is: 5,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.12 : 8,862.63 = 4,297.38 : x
  2. Step 2: Convert to fraction form
    6,419.12/8,862.63 = 4,297.38/x
  3. Step 3: Cross multiply
    6,419.12x = 8,862.63 × 4,297.38
  4. Step 4: Simplify right side
    6,419.12x = 38,086,088.91
  5. Step 5: Solve for x
    x = 38,086,088.91/6,419.12
  6. Step 6: Final answer
    x = 5,933.23

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Why These Related Problems?

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