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Finding the Fourth Proportional to 5,248, 7,242.25 and 2,890.36

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Solution

The fourth proportional to 5,248, 7,242.25 and 2,890.36 is: 3,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248 : 7,242.25 = 2,890.36 : x
  2. Step 2: Convert to fraction form
    5,248/7,242.25 = 2,890.36/x
  3. Step 3: Cross multiply
    5,248x = 7,242.25 × 2,890.36
  4. Step 4: Simplify right side
    5,248x = 20,932,709.71
  5. Step 5: Solve for x
    x = 20,932,709.71/5,248
  6. Step 6: Final answer
    x = 3,988.70

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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.