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Finding the Fourth Proportional to 5,325.60, 8,005.68 and 5,299.68

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Solution

The fourth proportional to 5,325.60, 8,005.68 and 5,299.68 is: 7,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.60 : 8,005.68 = 5,299.68 : x
  2. Step 2: Convert to fraction form
    5,325.60/8,005.68 = 5,299.68/x
  3. Step 3: Cross multiply
    5,325.60x = 8,005.68 × 5,299.68
  4. Step 4: Simplify right side
    5,325.60x = 42,427,542.18
  5. Step 5: Solve for x
    x = 42,427,542.18/5,325.60
  6. Step 6: Final answer
    x = 7,966.72

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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.