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Finding the Fourth Proportional to 3,475.84, 5,212.26 and 1,010.08

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Solution

The fourth proportional to 3,475.84, 5,212.26 and 1,010.08 is: 1,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.84 : 5,212.26 = 1,010.08 : x
  2. Step 2: Convert to fraction form
    3,475.84/5,212.26 = 1,010.08/x
  3. Step 3: Cross multiply
    3,475.84x = 5,212.26 × 1,010.08
  4. Step 4: Simplify right side
    3,475.84x = 5,264,799.58
  5. Step 5: Solve for x
    x = 5,264,799.58/3,475.84
  6. Step 6: Final answer
    x = 1,514.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.