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Finding the Fourth Proportional to 4,705.88, 7,058.81 and 1,627.88

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Solution

The fourth proportional to 4,705.88, 7,058.81 and 1,627.88 is: 2,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.88 : 7,058.81 = 1,627.88 : x
  2. Step 2: Convert to fraction form
    4,705.88/7,058.81 = 1,627.88/x
  3. Step 3: Cross multiply
    4,705.88x = 7,058.81 × 1,627.88
  4. Step 4: Simplify right side
    4,705.88x = 11,490,895.62
  5. Step 5: Solve for x
    x = 11,490,895.62/4,705.88
  6. Step 6: Final answer
    x = 2,441.82

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1.5x scale

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.