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Finding the Fourth Proportional to 5,684.16, 8,518.68 and 2,393.28

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Solution

The fourth proportional to 5,684.16, 8,518.68 and 2,393.28 is: 3,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.16 : 8,518.68 = 2,393.28 : x
  2. Step 2: Convert to fraction form
    5,684.16/8,518.68 = 2,393.28/x
  3. Step 3: Cross multiply
    5,684.16x = 8,518.68 × 2,393.28
  4. Step 4: Simplify right side
    5,684.16x = 20,387,586.47
  5. Step 5: Solve for x
    x = 20,387,586.47/5,684.16
  6. Step 6: Final answer
    x = 3,586.74

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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.