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Finding the Fourth Proportional to 4,138.06, 5,710.53 and 2,275.06

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Solution

The fourth proportional to 4,138.06, 5,710.53 and 2,275.06 is: 3,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.06 : 5,710.53 = 2,275.06 : x
  2. Step 2: Convert to fraction form
    4,138.06/5,710.53 = 2,275.06/x
  3. Step 3: Cross multiply
    4,138.06x = 5,710.53 × 2,275.06
  4. Step 4: Simplify right side
    4,138.06x = 12,991,798.38
  5. Step 5: Solve for x
    x = 12,991,798.38/4,138.06
  6. Step 6: Final answer
    x = 3,139.59

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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.