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Finding the Fourth Proportional to 5,668.08, 7,822.47 and 3,430.55

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Solution

The fourth proportional to 5,668.08, 7,822.47 and 3,430.55 is: 4,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.08 : 7,822.47 = 3,430.55 : x
  2. Step 2: Convert to fraction form
    5,668.08/7,822.47 = 3,430.55/x
  3. Step 3: Cross multiply
    5,668.08x = 7,822.47 × 3,430.55
  4. Step 4: Simplify right side
    5,668.08x = 26,835,406.88
  5. Step 5: Solve for x
    x = 26,835,406.88/5,668.08
  6. Step 6: Final answer
    x = 4,734.48

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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.