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Finding the Fourth Proportional to 5,897.94, 8,856.32 and 3,434.55

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Solution

The fourth proportional to 5,897.94, 8,856.32 and 3,434.55 is: 5,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.94 : 8,856.32 = 3,434.55 : x
  2. Step 2: Convert to fraction form
    5,897.94/8,856.32 = 3,434.55/x
  3. Step 3: Cross multiply
    5,897.94x = 8,856.32 × 3,434.55
  4. Step 4: Simplify right side
    5,897.94x = 30,417,456.68
  5. Step 5: Solve for x
    x = 30,417,456.68/5,897.94
  6. Step 6: Final answer
    x = 5,157.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.