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Finding the Fourth Proportional to 5,754.48, 8,611.56 and 4,290

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Solution

The fourth proportional to 5,754.48, 8,611.56 and 4,290 is: 6,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.48 : 8,611.56 = 4,290 : x
  2. Step 2: Convert to fraction form
    5,754.48/8,611.56 = 4,290/x
  3. Step 3: Cross multiply
    5,754.48x = 8,611.56 × 4,290
  4. Step 4: Simplify right side
    5,754.48x = 36,943,592.40
  5. Step 5: Solve for x
    x = 36,943,592.40/5,754.48
  6. Step 6: Final answer
    x = 6,419.97

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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.