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Finding the Fourth Proportional to 3,729.93, 5,595.21 and 1,538.25

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Solution

The fourth proportional to 3,729.93, 5,595.21 and 1,538.25 is: 2,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.93 : 5,595.21 = 1,538.25 : x
  2. Step 2: Convert to fraction form
    3,729.93/5,595.21 = 1,538.25/x
  3. Step 3: Cross multiply
    3,729.93x = 5,595.21 × 1,538.25
  4. Step 4: Simplify right side
    3,729.93x = 8,606,831.78
  5. Step 5: Solve for x
    x = 8,606,831.78/3,729.93
  6. Step 6: Final answer
    x = 2,307.50

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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.