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Finding the Fourth Proportional to 5,307.96, 7,909.26 and 4,726.38

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Solution

The fourth proportional to 5,307.96, 7,909.26 and 4,726.38 is: 7,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.96 : 7,909.26 = 4,726.38 : x
  2. Step 2: Convert to fraction form
    5,307.96/7,909.26 = 4,726.38/x
  3. Step 3: Cross multiply
    5,307.96x = 7,909.26 × 4,726.38
  4. Step 4: Simplify right side
    5,307.96x = 37,382,168.28
  5. Step 5: Solve for x
    x = 37,382,168.28/5,307.96
  6. Step 6: Final answer
    x = 7,042.66

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