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Finding the Fourth Proportional to 5,040, 7,526.04 and 4,117.38

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Solution

The fourth proportional to 5,040, 7,526.04 and 4,117.38 is: 6,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040 : 7,526.04 = 4,117.38 : x
  2. Step 2: Convert to fraction form
    5,040/7,526.04 = 4,117.38/x
  3. Step 3: Cross multiply
    5,040x = 7,526.04 × 4,117.38
  4. Step 4: Simplify right side
    5,040x = 30,987,566.58
  5. Step 5: Solve for x
    x = 30,987,566.58/5,040
  6. Step 6: Final answer
    x = 6,148.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.