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Finding the Fourth Proportional to 5,590.14, 7,708.02 and 4,578.66

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Solution

The fourth proportional to 5,590.14, 7,708.02 and 4,578.66 is: 6,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.14 : 7,708.02 = 4,578.66 : x
  2. Step 2: Convert to fraction form
    5,590.14/7,708.02 = 4,578.66/x
  3. Step 3: Cross multiply
    5,590.14x = 7,708.02 × 4,578.66
  4. Step 4: Simplify right side
    5,590.14x = 35,292,402.85
  5. Step 5: Solve for x
    x = 35,292,402.85/5,590.14
  6. Step 6: Final answer
    x = 6,313.33

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