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Finding the Fourth Proportional to 4,178.74, 5,779.20 and 3,653.86

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Solution

The fourth proportional to 4,178.74, 5,779.20 and 3,653.86 is: 5,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.74 : 5,779.20 = 3,653.86 : x
  2. Step 2: Convert to fraction form
    4,178.74/5,779.20 = 3,653.86/x
  3. Step 3: Cross multiply
    4,178.74x = 5,779.20 × 3,653.86
  4. Step 4: Simplify right side
    4,178.74x = 21,116,387.71
  5. Step 5: Solve for x
    x = 21,116,387.71/4,178.74
  6. Step 6: Final answer
    x = 5,053.29

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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.