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Finding the Fourth Proportional to 5,049.39, 7,574.11 and 1,762.49

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Solution

The fourth proportional to 5,049.39, 7,574.11 and 1,762.49 is: 2,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.39 : 7,574.11 = 1,762.49 : x
  2. Step 2: Convert to fraction form
    5,049.39/7,574.11 = 1,762.49/x
  3. Step 3: Cross multiply
    5,049.39x = 7,574.11 × 1,762.49
  4. Step 4: Simplify right side
    5,049.39x = 13,349,307.66
  5. Step 5: Solve for x
    x = 13,349,307.66/5,049.39
  6. Step 6: Final answer
    x = 2,643.75

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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.