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Finding the Fourth Proportional to 4,368, 6,551.34 and 1,445.92

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Solution

The fourth proportional to 4,368, 6,551.34 and 1,445.92 is: 2,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368 : 6,551.34 = 1,445.92 : x
  2. Step 2: Convert to fraction form
    4,368/6,551.34 = 1,445.92/x
  3. Step 3: Cross multiply
    4,368x = 6,551.34 × 1,445.92
  4. Step 4: Simplify right side
    4,368x = 9,472,713.53
  5. Step 5: Solve for x
    x = 9,472,713.53/4,368
  6. Step 6: Final answer
    x = 2,168.66

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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.