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Finding the Fourth Proportional to 4,119.45, 5,646.71 and 4,064.10

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Solution

The fourth proportional to 4,119.45, 5,646.71 and 4,064.10 is: 5,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.45 : 5,646.71 = 4,064.10 : x
  2. Step 2: Convert to fraction form
    4,119.45/5,646.71 = 4,064.10/x
  3. Step 3: Cross multiply
    4,119.45x = 5,646.71 × 4,064.10
  4. Step 4: Simplify right side
    4,119.45x = 22,948,773.79
  5. Step 5: Solve for x
    x = 22,948,773.79/4,119.45
  6. Step 6: Final answer
    x = 5,570.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.