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Finding the Fourth Proportional to 4,877.84, 6,734.48 and 3,756.66

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Solution

The fourth proportional to 4,877.84, 6,734.48 and 3,756.66 is: 5,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.84 : 6,734.48 = 3,756.66 : x
  2. Step 2: Convert to fraction form
    4,877.84/6,734.48 = 3,756.66/x
  3. Step 3: Cross multiply
    4,877.84x = 6,734.48 × 3,756.66
  4. Step 4: Simplify right side
    4,877.84x = 25,299,132.85
  5. Step 5: Solve for x
    x = 25,299,132.85/4,877.84
  6. Step 6: Final answer
    x = 5,186.55

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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.