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Finding the Fourth Proportional to 5,050.84, 7,576.62 and 1,588

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Solution

The fourth proportional to 5,050.84, 7,576.62 and 1,588 is: 2,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.84 : 7,576.62 = 1,588 : x
  2. Step 2: Convert to fraction form
    5,050.84/7,576.62 = 1,588/x
  3. Step 3: Cross multiply
    5,050.84x = 7,576.62 × 1,588
  4. Step 4: Simplify right side
    5,050.84x = 12,031,672.56
  5. Step 5: Solve for x
    x = 12,031,672.56/5,050.84
  6. Step 6: Final answer
    x = 2,382.11

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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.