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Finding the Fourth Proportional to 5,572.69, 7,690.32 and 3,088.69

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Solution

The fourth proportional to 5,572.69, 7,690.32 and 3,088.69 is: 4,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.69 : 7,690.32 = 3,088.69 : x
  2. Step 2: Convert to fraction form
    5,572.69/7,690.32 = 3,088.69/x
  3. Step 3: Cross multiply
    5,572.69x = 7,690.32 × 3,088.69
  4. Step 4: Simplify right side
    5,572.69x = 23,752,995.26
  5. Step 5: Solve for x
    x = 23,752,995.26/5,572.69
  6. Step 6: Final answer
    x = 4,262.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.