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Finding the Fourth Proportional to 5,386.29, 8,065.35 and 5,057.83

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Solution

The fourth proportional to 5,386.29, 8,065.35 and 5,057.83 is: 7,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.29 : 8,065.35 = 5,057.83 : x
  2. Step 2: Convert to fraction form
    5,386.29/8,065.35 = 5,057.83/x
  3. Step 3: Cross multiply
    5,386.29x = 8,065.35 × 5,057.83
  4. Step 4: Simplify right side
    5,386.29x = 40,793,169.19
  5. Step 5: Solve for x
    x = 40,793,169.19/5,386.29
  6. Step 6: Final answer
    x = 7,573.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.