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Finding the Fourth Proportional to 3,466, 5,199.04 and 1,000.84

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Solution

The fourth proportional to 3,466, 5,199.04 and 1,000.84 is: 1,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466 : 5,199.04 = 1,000.84 : x
  2. Step 2: Convert to fraction form
    3,466/5,199.04 = 1,000.84/x
  3. Step 3: Cross multiply
    3,466x = 5,199.04 × 1,000.84
  4. Step 4: Simplify right side
    3,466x = 5,203,407.19
  5. Step 5: Solve for x
    x = 5,203,407.19/3,466
  6. Step 6: Final answer
    x = 1,501.27

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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.