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Finding the Fourth Proportional to 5,669.55, 7,824.11 and 3,430.98

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Solution

The fourth proportional to 5,669.55, 7,824.11 and 3,430.98 is: 4,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.55 : 7,824.11 = 3,430.98 : x
  2. Step 2: Convert to fraction form
    5,669.55/7,824.11 = 3,430.98/x
  3. Step 3: Cross multiply
    5,669.55x = 7,824.11 × 3,430.98
  4. Step 4: Simplify right side
    5,669.55x = 26,844,347.77
  5. Step 5: Solve for x
    x = 26,844,347.77/5,669.55
  6. Step 6: Final answer
    x = 4,734.83

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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.