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Finding the Fourth Proportional to 3,697.38, 5,547.42 and 1,506.33

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Solution

The fourth proportional to 3,697.38, 5,547.42 and 1,506.33 is: 2,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.38 : 5,547.42 = 1,506.33 : x
  2. Step 2: Convert to fraction form
    3,697.38/5,547.42 = 1,506.33/x
  3. Step 3: Cross multiply
    3,697.38x = 5,547.42 × 1,506.33
  4. Step 4: Simplify right side
    3,697.38x = 8,356,245.17
  5. Step 5: Solve for x
    x = 8,356,245.17/3,697.38
  6. Step 6: Final answer
    x = 2,260.04

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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.