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Finding the Fourth Proportional to 3,471.96, 5,210.10 and 1,165.08

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Solution

The fourth proportional to 3,471.96, 5,210.10 and 1,165.08 is: 1,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.96 : 5,210.10 = 1,165.08 : x
  2. Step 2: Convert to fraction form
    3,471.96/5,210.10 = 1,165.08/x
  3. Step 3: Cross multiply
    3,471.96x = 5,210.10 × 1,165.08
  4. Step 4: Simplify right side
    3,471.96x = 6,070,183.31
  5. Step 5: Solve for x
    x = 6,070,183.31/3,471.96
  6. Step 6: Final answer
    x = 1,748.34

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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.