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Finding the Fourth Proportional to 4,877.16, 6,729.54 and 2,781.24

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Solution

The fourth proportional to 4,877.16, 6,729.54 and 2,781.24 is: 3,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.16 : 6,729.54 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    4,877.16/6,729.54 = 2,781.24/x
  3. Step 3: Cross multiply
    4,877.16x = 6,729.54 × 2,781.24
  4. Step 4: Simplify right side
    4,877.16x = 18,716,465.83
  5. Step 5: Solve for x
    x = 18,716,465.83/4,877.16
  6. Step 6: Final answer
    x = 3,837.57

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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.