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Finding the Fourth Proportional to 5,830.74, 8,744.88 and 1,882.36

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Solution

The fourth proportional to 5,830.74, 8,744.88 and 1,882.36 is: 2,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.74 : 8,744.88 = 1,882.36 : x
  2. Step 2: Convert to fraction form
    5,830.74/8,744.88 = 1,882.36/x
  3. Step 3: Cross multiply
    5,830.74x = 8,744.88 × 1,882.36
  4. Step 4: Simplify right side
    5,830.74x = 16,461,012.32
  5. Step 5: Solve for x
    x = 16,461,012.32/5,830.74
  6. Step 6: Final answer
    x = 2,823.14

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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.