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Finding the Fourth Proportional to 5,054.72, 6,975.04 and 3,729.16

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Solution

The fourth proportional to 5,054.72, 6,975.04 and 3,729.16 is: 5,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.72 : 6,975.04 = 3,729.16 : x
  2. Step 2: Convert to fraction form
    5,054.72/6,975.04 = 3,729.16/x
  3. Step 3: Cross multiply
    5,054.72x = 6,975.04 × 3,729.16
  4. Step 4: Simplify right side
    5,054.72x = 26,011,040.17
  5. Step 5: Solve for x
    x = 26,011,040.17/5,054.72
  6. Step 6: Final answer
    x = 5,145.89

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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.