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Finding the Fourth Proportional to 3,750.95, 5,176.49 and 2,259.33

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Solution

The fourth proportional to 3,750.95, 5,176.49 and 2,259.33 is: 3,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.95 : 5,176.49 = 2,259.33 : x
  2. Step 2: Convert to fraction form
    3,750.95/5,176.49 = 2,259.33/x
  3. Step 3: Cross multiply
    3,750.95x = 5,176.49 × 2,259.33
  4. Step 4: Simplify right side
    3,750.95x = 11,695,387.86
  5. Step 5: Solve for x
    x = 11,695,387.86/3,750.95
  6. Step 6: Final answer
    x = 3,117.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.