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Finding the Fourth Proportional to 5,002.25, 6,903.64 and 2,877.87

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Solution

The fourth proportional to 5,002.25, 6,903.64 and 2,877.87 is: 3,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.25 : 6,903.64 = 2,877.87 : x
  2. Step 2: Convert to fraction form
    5,002.25/6,903.64 = 2,877.87/x
  3. Step 3: Cross multiply
    5,002.25x = 6,903.64 × 2,877.87
  4. Step 4: Simplify right side
    5,002.25x = 19,867,771.25
  5. Step 5: Solve for x
    x = 19,867,771.25/5,002.25
  6. Step 6: Final answer
    x = 3,971.77

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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.