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Finding the Fourth Proportional to 5,590.74, 7,715.49 and 3,106.74

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Solution

The fourth proportional to 5,590.74, 7,715.49 and 3,106.74 is: 4,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.74 : 7,715.49 = 3,106.74 : x
  2. Step 2: Convert to fraction form
    5,590.74/7,715.49 = 3,106.74/x
  3. Step 3: Cross multiply
    5,590.74x = 7,715.49 × 3,106.74
  4. Step 4: Simplify right side
    5,590.74x = 23,970,021.40
  5. Step 5: Solve for x
    x = 23,970,021.40/5,590.74
  6. Step 6: Final answer
    x = 4,287.45

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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.