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Finding the Fourth Proportional to 5,590.71, 7,717.53 and 3,774.08

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Solution

The fourth proportional to 5,590.71, 7,717.53 and 3,774.08 is: 5,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.71 : 7,717.53 = 3,774.08 : x
  2. Step 2: Convert to fraction form
    5,590.71/7,717.53 = 3,774.08/x
  3. Step 3: Cross multiply
    5,590.71x = 7,717.53 × 3,774.08
  4. Step 4: Simplify right side
    5,590.71x = 29,126,537.03
  5. Step 5: Solve for x
    x = 29,126,537.03/5,590.71
  6. Step 6: Final answer
    x = 5,209.81

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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.