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Finding the Fourth Proportional to 5,045.88, 7,570.03 and 1,583.13

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Solution

The fourth proportional to 5,045.88, 7,570.03 and 1,583.13 is: 2,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.88 : 7,570.03 = 1,583.13 : x
  2. Step 2: Convert to fraction form
    5,045.88/7,570.03 = 1,583.13/x
  3. Step 3: Cross multiply
    5,045.88x = 7,570.03 × 1,583.13
  4. Step 4: Simplify right side
    5,045.88x = 11,984,299.79
  5. Step 5: Solve for x
    x = 11,984,299.79/5,045.88
  6. Step 6: Final answer
    x = 2,375.07

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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.