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Finding the Fourth Proportional to 5,598.14, 7,726.14 and 3,614.45

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Solution

The fourth proportional to 5,598.14, 7,726.14 and 3,614.45 is: 4,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.14 : 7,726.14 = 3,614.45 : x
  2. Step 2: Convert to fraction form
    5,598.14/7,726.14 = 3,614.45/x
  3. Step 3: Cross multiply
    5,598.14x = 7,726.14 × 3,614.45
  4. Step 4: Simplify right side
    5,598.14x = 27,925,728.65
  5. Step 5: Solve for x
    x = 27,925,728.65/5,598.14
  6. Step 6: Final answer
    x = 4,988.39

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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.