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Finding the Fourth Proportional to 5,803.46, 8,702.33 and 2,105.13

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Solution

The fourth proportional to 5,803.46, 8,702.33 and 2,105.13 is: 3,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.46 : 8,702.33 = 2,105.13 : x
  2. Step 2: Convert to fraction form
    5,803.46/8,702.33 = 2,105.13/x
  3. Step 3: Cross multiply
    5,803.46x = 8,702.33 × 2,105.13
  4. Step 4: Simplify right side
    5,803.46x = 18,319,525.43
  5. Step 5: Solve for x
    x = 18,319,525.43/5,803.46
  6. Step 6: Final answer
    x = 3,156.66

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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.