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Finding the Fourth Proportional to 5,895.40, 8,843.10 and 5,780.20

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Solution

The fourth proportional to 5,895.40, 8,843.10 and 5,780.20 is: 8,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.40 : 8,843.10 = 5,780.20 : x
  2. Step 2: Convert to fraction form
    5,895.40/8,843.10 = 5,780.20/x
  3. Step 3: Cross multiply
    5,895.40x = 8,843.10 × 5,780.20
  4. Step 4: Simplify right side
    5,895.40x = 51,114,886.62
  5. Step 5: Solve for x
    x = 51,114,886.62/5,895.40
  6. Step 6: Final answer
    x = 8,670.30

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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.