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Finding the Fourth Proportional to 5,676.60, 8,502.36 and 3,478.72

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Solution

The fourth proportional to 5,676.60, 8,502.36 and 3,478.72 is: 5,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.60 : 8,502.36 = 3,478.72 : x
  2. Step 2: Convert to fraction form
    5,676.60/8,502.36 = 3,478.72/x
  3. Step 3: Cross multiply
    5,676.60x = 8,502.36 × 3,478.72
  4. Step 4: Simplify right side
    5,676.60x = 29,577,329.78
  5. Step 5: Solve for x
    x = 29,577,329.78/5,676.60
  6. Step 6: Final answer
    x = 5,210.40

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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.