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Finding the Fourth Proportional to 5,247.60, 7,870.71 and 1,550.22

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Solution

The fourth proportional to 5,247.60, 7,870.71 and 1,550.22 is: 2,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.60 : 7,870.71 = 1,550.22 : x
  2. Step 2: Convert to fraction form
    5,247.60/7,870.71 = 1,550.22/x
  3. Step 3: Cross multiply
    5,247.60x = 7,870.71 × 1,550.22
  4. Step 4: Simplify right side
    5,247.60x = 12,201,332.06
  5. Step 5: Solve for x
    x = 12,201,332.06/5,247.60
  6. Step 6: Final answer
    x = 2,325.13

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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.