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Finding the Fourth Proportional to 3,697.15, 5,547.46 and 1,616.89

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Solution

The fourth proportional to 3,697.15, 5,547.46 and 1,616.89 is: 2,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.15 : 5,547.46 = 1,616.89 : x
  2. Step 2: Convert to fraction form
    3,697.15/5,547.46 = 1,616.89/x
  3. Step 3: Cross multiply
    3,697.15x = 5,547.46 × 1,616.89
  4. Step 4: Simplify right side
    3,697.15x = 8,969,632.60
  5. Step 5: Solve for x
    x = 8,969,632.60/3,697.15
  6. Step 6: Final answer
    x = 2,426.09

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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.