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Finding the Fourth Proportional to 5,035.66, 7,550.04 and 2,565.70

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Solution

The fourth proportional to 5,035.66, 7,550.04 and 2,565.70 is: 3,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.66 : 7,550.04 = 2,565.70 : x
  2. Step 2: Convert to fraction form
    5,035.66/7,550.04 = 2,565.70/x
  3. Step 3: Cross multiply
    5,035.66x = 7,550.04 × 2,565.70
  4. Step 4: Simplify right side
    5,035.66x = 19,371,137.63
  5. Step 5: Solve for x
    x = 19,371,137.63/5,035.66
  6. Step 6: Final answer
    x = 3,846.79

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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.