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Finding the Fourth Proportional to 3,715.80, 5,576.85 and 1,526.10

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Solution

The fourth proportional to 3,715.80, 5,576.85 and 1,526.10 is: 2,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.80 : 5,576.85 = 1,526.10 : x
  2. Step 2: Convert to fraction form
    3,715.80/5,576.85 = 1,526.10/x
  3. Step 3: Cross multiply
    3,715.80x = 5,576.85 × 1,526.10
  4. Step 4: Simplify right side
    3,715.80x = 8,510,830.79
  5. Step 5: Solve for x
    x = 8,510,830.79/3,715.80
  6. Step 6: Final answer
    x = 2,290.44

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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.