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Finding the Fourth Proportional to 3,570.32, 5,351.16 and 1,514

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Solution

The fourth proportional to 3,570.32, 5,351.16 and 1,514 is: 2,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.32 : 5,351.16 = 1,514 : x
  2. Step 2: Convert to fraction form
    3,570.32/5,351.16 = 1,514/x
  3. Step 3: Cross multiply
    3,570.32x = 5,351.16 × 1,514
  4. Step 4: Simplify right side
    3,570.32x = 8,101,656.24
  5. Step 5: Solve for x
    x = 8,101,656.24/3,570.32
  6. Step 6: Final answer
    x = 2,269.17

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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.