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Finding the Fourth Proportional to 5,309.17, 7,328.88 and 3,584.78

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Solution

The fourth proportional to 5,309.17, 7,328.88 and 3,584.78 is: 4,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.17 : 7,328.88 = 3,584.78 : x
  2. Step 2: Convert to fraction form
    5,309.17/7,328.88 = 3,584.78/x
  3. Step 3: Cross multiply
    5,309.17x = 7,328.88 × 3,584.78
  4. Step 4: Simplify right side
    5,309.17x = 26,272,433.90
  5. Step 5: Solve for x
    x = 26,272,433.90/5,309.17
  6. Step 6: Final answer
    x = 4,948.50

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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.