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Finding the Fourth Proportional to 5,780.25, 8,670.51 and 1,884.65

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Solution

The fourth proportional to 5,780.25, 8,670.51 and 1,884.65 is: 2,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.25 : 8,670.51 = 1,884.65 : x
  2. Step 2: Convert to fraction form
    5,780.25/8,670.51 = 1,884.65/x
  3. Step 3: Cross multiply
    5,780.25x = 8,670.51 × 1,884.65
  4. Step 4: Simplify right side
    5,780.25x = 16,340,833.32
  5. Step 5: Solve for x
    x = 16,340,833.32/5,780.25
  6. Step 6: Final answer
    x = 2,827.01

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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.