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Finding the Fourth Proportional to 5,688.76, 8,534.30 and 3,224.68

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Solution

The fourth proportional to 5,688.76, 8,534.30 and 3,224.68 is: 4,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.76 : 8,534.30 = 3,224.68 : x
  2. Step 2: Convert to fraction form
    5,688.76/8,534.30 = 3,224.68/x
  3. Step 3: Cross multiply
    5,688.76x = 8,534.30 × 3,224.68
  4. Step 4: Simplify right side
    5,688.76x = 27,520,386.52
  5. Step 5: Solve for x
    x = 27,520,386.52/5,688.76
  6. Step 6: Final answer
    x = 4,837.68

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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.