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Finding the Fourth Proportional to 5,902.30, 8,853.45 and 5,364.70

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Solution

The fourth proportional to 5,902.30, 8,853.45 and 5,364.70 is: 8,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.30 : 8,853.45 = 5,364.70 : x
  2. Step 2: Convert to fraction form
    5,902.30/8,853.45 = 5,364.70/x
  3. Step 3: Cross multiply
    5,902.30x = 8,853.45 × 5,364.70
  4. Step 4: Simplify right side
    5,902.30x = 47,496,103.22
  5. Step 5: Solve for x
    x = 47,496,103.22/5,902.30
  6. Step 6: Final answer
    x = 8,047.05

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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.