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Finding the Fourth Proportional to 3,139.75, 4,710.95 and 1,578.93

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Solution

The fourth proportional to 3,139.75, 4,710.95 and 1,578.93 is: 2,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.75 : 4,710.95 = 1,578.93 : x
  2. Step 2: Convert to fraction form
    3,139.75/4,710.95 = 1,578.93/x
  3. Step 3: Cross multiply
    3,139.75x = 4,710.95 × 1,578.93
  4. Step 4: Simplify right side
    3,139.75x = 7,438,252.39
  5. Step 5: Solve for x
    x = 7,438,252.39/3,139.75
  6. Step 6: Final answer
    x = 2,369.06

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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.