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Finding the Fourth Proportional to 5,708.65, 8,543.52 and 4,785.25

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Solution

The fourth proportional to 5,708.65, 8,543.52 and 4,785.25 is: 7,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.65 : 8,543.52 = 4,785.25 : x
  2. Step 2: Convert to fraction form
    5,708.65/8,543.52 = 4,785.25/x
  3. Step 3: Cross multiply
    5,708.65x = 8,543.52 × 4,785.25
  4. Step 4: Simplify right side
    5,708.65x = 40,882,879.08
  5. Step 5: Solve for x
    x = 40,882,879.08/5,708.65
  6. Step 6: Final answer
    x = 7,161.57

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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.