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Finding the Fourth Proportional to 5,647.78, 8,470.32 and 1,950.13

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Solution

The fourth proportional to 5,647.78, 8,470.32 and 1,950.13 is: 2,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.78 : 8,470.32 = 1,950.13 : x
  2. Step 2: Convert to fraction form
    5,647.78/8,470.32 = 1,950.13/x
  3. Step 3: Cross multiply
    5,647.78x = 8,470.32 × 1,950.13
  4. Step 4: Simplify right side
    5,647.78x = 16,518,225.14
  5. Step 5: Solve for x
    x = 16,518,225.14/5,647.78
  6. Step 6: Final answer
    x = 2,924.73

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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.