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Finding the Fourth Proportional to 7,044.75, 10,570.77 and 3,582

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Solution

The fourth proportional to 7,044.75, 10,570.77 and 3,582 is: 5,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.75 : 10,570.77 = 3,582 : x
  2. Step 2: Convert to fraction form
    7,044.75/10,570.77 = 3,582/x
  3. Step 3: Cross multiply
    7,044.75x = 10,570.77 × 3,582
  4. Step 4: Simplify right side
    7,044.75x = 37,864,498.14
  5. Step 5: Solve for x
    x = 37,864,498.14/7,044.75
  6. Step 6: Final answer
    x = 5,374.85

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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.