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Finding the Fourth Proportional to 5,248, 7,870.44 and 2,473.12

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Solution

The fourth proportional to 5,248, 7,870.44 and 2,473.12 is: 3,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248 : 7,870.44 = 2,473.12 : x
  2. Step 2: Convert to fraction form
    5,248/7,870.44 = 2,473.12/x
  3. Step 3: Cross multiply
    5,248x = 7,870.44 × 2,473.12
  4. Step 4: Simplify right side
    5,248x = 19,464,542.57
  5. Step 5: Solve for x
    x = 19,464,542.57/5,248
  6. Step 6: Final answer
    x = 3,708.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.