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Finding the Fourth Proportional to 5,733.78, 7,913.88 and 3,637.50

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Solution

The fourth proportional to 5,733.78, 7,913.88 and 3,637.50 is: 5,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.78 : 7,913.88 = 3,637.50 : x
  2. Step 2: Convert to fraction form
    5,733.78/7,913.88 = 3,637.50/x
  3. Step 3: Cross multiply
    5,733.78x = 7,913.88 × 3,637.50
  4. Step 4: Simplify right side
    5,733.78x = 28,786,738.50
  5. Step 5: Solve for x
    x = 28,786,738.50/5,733.78
  6. Step 6: Final answer
    x = 5,020.55

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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.