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Finding the Fourth Proportional to 3,315.71, 4,575.76 and 1,823.76

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Solution

The fourth proportional to 3,315.71, 4,575.76 and 1,823.76 is: 2,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.71 : 4,575.76 = 1,823.76 : x
  2. Step 2: Convert to fraction form
    3,315.71/4,575.76 = 1,823.76/x
  3. Step 3: Cross multiply
    3,315.71x = 4,575.76 × 1,823.76
  4. Step 4: Simplify right side
    3,315.71x = 8,345,083.50
  5. Step 5: Solve for x
    x = 8,345,083.50/3,315.71
  6. Step 6: Final answer
    x = 2,516.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.