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Finding the Fourth Proportional to 4,977.68, 6,881.64 and 3,733.52

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Solution

The fourth proportional to 4,977.68, 6,881.64 and 3,733.52 is: 5,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.68 : 6,881.64 = 3,733.52 : x
  2. Step 2: Convert to fraction form
    4,977.68/6,881.64 = 3,733.52/x
  3. Step 3: Cross multiply
    4,977.68x = 6,881.64 × 3,733.52
  4. Step 4: Simplify right side
    4,977.68x = 25,692,740.57
  5. Step 5: Solve for x
    x = 25,692,740.57/4,977.68
  6. Step 6: Final answer
    x = 5,161.59

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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.