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Finding the Fourth Proportional to 3,397.64, 5,094.02 and 1,547.82

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Solution

The fourth proportional to 3,397.64, 5,094.02 and 1,547.82 is: 2,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.64 : 5,094.02 = 1,547.82 : x
  2. Step 2: Convert to fraction form
    3,397.64/5,094.02 = 1,547.82/x
  3. Step 3: Cross multiply
    3,397.64x = 5,094.02 × 1,547.82
  4. Step 4: Simplify right side
    3,397.64x = 7,884,626.04
  5. Step 5: Solve for x
    x = 7,884,626.04/3,397.64
  6. Step 6: Final answer
    x = 2,320.62

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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.