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Finding the Fourth Proportional to 4,248, 6,368.76 and 2,297.52

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Solution

The fourth proportional to 4,248, 6,368.76 and 2,297.52 is: 3,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248 : 6,368.76 = 2,297.52 : x
  2. Step 2: Convert to fraction form
    4,248/6,368.76 = 2,297.52/x
  3. Step 3: Cross multiply
    4,248x = 6,368.76 × 2,297.52
  4. Step 4: Simplify right side
    4,248x = 14,632,353.48
  5. Step 5: Solve for x
    x = 14,632,353.48/4,248
  6. Step 6: Final answer
    x = 3,444.53

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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.