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Finding the Fourth Proportional to 5,397.50, 7,445.07 and 3,822.86

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Solution

The fourth proportional to 5,397.50, 7,445.07 and 3,822.86 is: 5,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.50 : 7,445.07 = 3,822.86 : x
  2. Step 2: Convert to fraction form
    5,397.50/7,445.07 = 3,822.86/x
  3. Step 3: Cross multiply
    5,397.50x = 7,445.07 × 3,822.86
  4. Step 4: Simplify right side
    5,397.50x = 28,461,460.30
  5. Step 5: Solve for x
    x = 28,461,460.30/5,397.50
  6. Step 6: Final answer
    x = 5,273.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.