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Finding the Fourth Proportional to 6,417.05, 8,854.13 and 3,900.52

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Solution

The fourth proportional to 6,417.05, 8,854.13 and 3,900.52 is: 5,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.05 : 8,854.13 = 3,900.52 : x
  2. Step 2: Convert to fraction form
    6,417.05/8,854.13 = 3,900.52/x
  3. Step 3: Cross multiply
    6,417.05x = 8,854.13 × 3,900.52
  4. Step 4: Simplify right side
    6,417.05x = 34,535,647.37
  5. Step 5: Solve for x
    x = 34,535,647.37/6,417.05
  6. Step 6: Final answer
    x = 5,381.86

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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.