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Finding the Fourth Proportional to 5,053.16, 6,971.40 and 3,726.38

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Solution

The fourth proportional to 5,053.16, 6,971.40 and 3,726.38 is: 5,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.16 : 6,971.40 = 3,726.38 : x
  2. Step 2: Convert to fraction form
    5,053.16/6,971.40 = 3,726.38/x
  3. Step 3: Cross multiply
    5,053.16x = 6,971.40 × 3,726.38
  4. Step 4: Simplify right side
    5,053.16x = 25,978,085.53
  5. Step 5: Solve for x
    x = 25,978,085.53/5,053.16
  6. Step 6: Final answer
    x = 5,140.96

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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.