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Finding the Fourth Proportional to 5,652.86, 8,478.68 and 3,457.76

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Solution

The fourth proportional to 5,652.86, 8,478.68 and 3,457.76 is: 5,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.86 : 8,478.68 = 3,457.76 : x
  2. Step 2: Convert to fraction form
    5,652.86/8,478.68 = 3,457.76/x
  3. Step 3: Cross multiply
    5,652.86x = 8,478.68 × 3,457.76
  4. Step 4: Simplify right side
    5,652.86x = 29,317,180.87
  5. Step 5: Solve for x
    x = 29,317,180.87/5,652.86
  6. Step 6: Final answer
    x = 5,186.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.