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Finding the Fourth Proportional to 5,756.89, 7,937.63 and 4,078.57

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Solution

The fourth proportional to 5,756.89, 7,937.63 and 4,078.57 is: 5,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.89 : 7,937.63 = 4,078.57 : x
  2. Step 2: Convert to fraction form
    5,756.89/7,937.63 = 4,078.57/x
  3. Step 3: Cross multiply
    5,756.89x = 7,937.63 × 4,078.57
  4. Step 4: Simplify right side
    5,756.89x = 32,374,179.59
  5. Step 5: Solve for x
    x = 32,374,179.59/5,756.89
  6. Step 6: Final answer
    x = 5,623.55

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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.