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Finding the Fourth Proportional to 5,221.80, 7,820.52 and 5,117.40

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Solution

The fourth proportional to 5,221.80, 7,820.52 and 5,117.40 is: 7,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.80 : 7,820.52 = 5,117.40 : x
  2. Step 2: Convert to fraction form
    5,221.80/7,820.52 = 5,117.40/x
  3. Step 3: Cross multiply
    5,221.80x = 7,820.52 × 5,117.40
  4. Step 4: Simplify right side
    5,221.80x = 40,020,729.05
  5. Step 5: Solve for x
    x = 40,020,729.05/5,221.80
  6. Step 6: Final answer
    x = 7,664.16

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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.