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Finding the Fourth Proportional to 4,436.64, 6,148.44 and 4,374

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Solution

The fourth proportional to 4,436.64, 6,148.44 and 4,374 is: 6,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.64 : 6,148.44 = 4,374 : x
  2. Step 2: Convert to fraction form
    4,436.64/6,148.44 = 4,374/x
  3. Step 3: Cross multiply
    4,436.64x = 6,148.44 × 4,374
  4. Step 4: Simplify right side
    4,436.64x = 26,893,276.56
  5. Step 5: Solve for x
    x = 26,893,276.56/4,436.64
  6. Step 6: Final answer
    x = 6,061.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.