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Finding the Fourth Proportional to 4,675.18, 6,443.92 and 4,106.56

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Solution

The fourth proportional to 4,675.18, 6,443.92 and 4,106.56 is: 5,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.18 : 6,443.92 = 4,106.56 : x
  2. Step 2: Convert to fraction form
    4,675.18/6,443.92 = 4,106.56/x
  3. Step 3: Cross multiply
    4,675.18x = 6,443.92 × 4,106.56
  4. Step 4: Simplify right side
    4,675.18x = 26,462,344.12
  5. Step 5: Solve for x
    x = 26,462,344.12/4,675.18
  6. Step 6: Final answer
    x = 5,660.18

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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.