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Finding the Fourth Proportional to 5,612.80, 8,406.96 and 4,627.84

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Solution

The fourth proportional to 5,612.80, 8,406.96 and 4,627.84 is: 6,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.80 : 8,406.96 = 4,627.84 : x
  2. Step 2: Convert to fraction form
    5,612.80/8,406.96 = 4,627.84/x
  3. Step 3: Cross multiply
    5,612.80x = 8,406.96 × 4,627.84
  4. Step 4: Simplify right side
    5,612.80x = 38,906,065.77
  5. Step 5: Solve for x
    x = 38,906,065.77/5,612.80
  6. Step 6: Final answer
    x = 6,931.67

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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.