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Finding the Fourth Proportional to 5,197.59, 7,785.32 and 4,206.15

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Solution

The fourth proportional to 5,197.59, 7,785.32 and 4,206.15 is: 6,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.59 : 7,785.32 = 4,206.15 : x
  2. Step 2: Convert to fraction form
    5,197.59/7,785.32 = 4,206.15/x
  3. Step 3: Cross multiply
    5,197.59x = 7,785.32 × 4,206.15
  4. Step 4: Simplify right side
    5,197.59x = 32,746,202.69
  5. Step 5: Solve for x
    x = 32,746,202.69/5,197.59
  6. Step 6: Final answer
    x = 6,300.27

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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.