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Finding the Fourth Proportional to 5,890.32, 8,121.99 and 4,294.15

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Solution

The fourth proportional to 5,890.32, 8,121.99 and 4,294.15 is: 5,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.32 : 8,121.99 = 4,294.15 : x
  2. Step 2: Convert to fraction form
    5,890.32/8,121.99 = 4,294.15/x
  3. Step 3: Cross multiply
    5,890.32x = 8,121.99 × 4,294.15
  4. Step 4: Simplify right side
    5,890.32x = 34,877,058.32
  5. Step 5: Solve for x
    x = 34,877,058.32/5,890.32
  6. Step 6: Final answer
    x = 5,921.08

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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.