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Finding the Fourth Proportional to 5,270.18, 7,888.70 and 3,617.06

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Solution

The fourth proportional to 5,270.18, 7,888.70 and 3,617.06 is: 5,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.18 : 7,888.70 = 3,617.06 : x
  2. Step 2: Convert to fraction form
    5,270.18/7,888.70 = 3,617.06/x
  3. Step 3: Cross multiply
    5,270.18x = 7,888.70 × 3,617.06
  4. Step 4: Simplify right side
    5,270.18x = 28,533,901.22
  5. Step 5: Solve for x
    x = 28,533,901.22/5,270.18
  6. Step 6: Final answer
    x = 5,414.22

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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.