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Finding the Fourth Proportional to 3,697.64, 5,547.28 and 1,100.42

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Solution

The fourth proportional to 3,697.64, 5,547.28 and 1,100.42 is: 1,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.64 : 5,547.28 = 1,100.42 : x
  2. Step 2: Convert to fraction form
    3,697.64/5,547.28 = 1,100.42/x
  3. Step 3: Cross multiply
    3,697.64x = 5,547.28 × 1,100.42
  4. Step 4: Simplify right side
    3,697.64x = 6,104,337.86
  5. Step 5: Solve for x
    x = 6,104,337.86/3,697.64
  6. Step 6: Final answer
    x = 1,650.87

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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.