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Finding the Fourth Proportional to 5,645.58, 7,787.76 and 4,446.15

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Solution

The fourth proportional to 5,645.58, 7,787.76 and 4,446.15 is: 6,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.58 : 7,787.76 = 4,446.15 : x
  2. Step 2: Convert to fraction form
    5,645.58/7,787.76 = 4,446.15/x
  3. Step 3: Cross multiply
    5,645.58x = 7,787.76 × 4,446.15
  4. Step 4: Simplify right side
    5,645.58x = 34,625,527.74
  5. Step 5: Solve for x
    x = 34,625,527.74/5,645.58
  6. Step 6: Final answer
    x = 6,133.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.