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Finding the Fourth Proportional to 4,001.68, 5,512 and 2,820.72

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Solution

The fourth proportional to 4,001.68, 5,512 and 2,820.72 is: 3,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.68 : 5,512 = 2,820.72 : x
  2. Step 2: Convert to fraction form
    4,001.68/5,512 = 2,820.72/x
  3. Step 3: Cross multiply
    4,001.68x = 5,512 × 2,820.72
  4. Step 4: Simplify right side
    4,001.68x = 15,547,808.64
  5. Step 5: Solve for x
    x = 15,547,808.64/4,001.68
  6. Step 6: Final answer
    x = 3,885.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.