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Finding the Fourth Proportional to 3,126.47, 4,314.45 and 1,710.17

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Solution

The fourth proportional to 3,126.47, 4,314.45 and 1,710.17 is: 2,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.47 : 4,314.45 = 1,710.17 : x
  2. Step 2: Convert to fraction form
    3,126.47/4,314.45 = 1,710.17/x
  3. Step 3: Cross multiply
    3,126.47x = 4,314.45 × 1,710.17
  4. Step 4: Simplify right side
    3,126.47x = 7,378,421.38
  5. Step 5: Solve for x
    x = 7,378,421.38/3,126.47
  6. Step 6: Final answer
    x = 2,359.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.