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Finding the Fourth Proportional to 3,971.02, 5,956.08 and 1,009.46

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Solution

The fourth proportional to 3,971.02, 5,956.08 and 1,009.46 is: 1,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.02 : 5,956.08 = 1,009.46 : x
  2. Step 2: Convert to fraction form
    3,971.02/5,956.08 = 1,009.46/x
  3. Step 3: Cross multiply
    3,971.02x = 5,956.08 × 1,009.46
  4. Step 4: Simplify right side
    3,971.02x = 6,012,424.52
  5. Step 5: Solve for x
    x = 6,012,424.52/3,971.02
  6. Step 6: Final answer
    x = 1,514.08

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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.