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Finding the Fourth Proportional to 5,670.32, 8,501.16 and 2,205.68

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Solution

The fourth proportional to 5,670.32, 8,501.16 and 2,205.68 is: 3,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.32 : 8,501.16 = 2,205.68 : x
  2. Step 2: Convert to fraction form
    5,670.32/8,501.16 = 2,205.68/x
  3. Step 3: Cross multiply
    5,670.32x = 8,501.16 × 2,205.68
  4. Step 4: Simplify right side
    5,670.32x = 18,750,838.59
  5. Step 5: Solve for x
    x = 18,750,838.59/5,670.32
  6. Step 6: Final answer
    x = 3,306.84

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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.