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Finding the Fourth Proportional to 5,382.86, 7,419.21 and 4,106.30

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Solution

The fourth proportional to 5,382.86, 7,419.21 and 4,106.30 is: 5,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.86 : 7,419.21 = 4,106.30 : x
  2. Step 2: Convert to fraction form
    5,382.86/7,419.21 = 4,106.30/x
  3. Step 3: Cross multiply
    5,382.86x = 7,419.21 × 4,106.30
  4. Step 4: Simplify right side
    5,382.86x = 30,465,502.02
  5. Step 5: Solve for x
    x = 30,465,502.02/5,382.86
  6. Step 6: Final answer
    x = 5,659.72

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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.