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Finding the Fourth Proportional to 6,202.19, 8,559.16 and 3,407.69

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Solution

The fourth proportional to 6,202.19, 8,559.16 and 3,407.69 is: 4,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.19 : 8,559.16 = 3,407.69 : x
  2. Step 2: Convert to fraction form
    6,202.19/8,559.16 = 3,407.69/x
  3. Step 3: Cross multiply
    6,202.19x = 8,559.16 × 3,407.69
  4. Step 4: Simplify right side
    6,202.19x = 29,166,925.50
  5. Step 5: Solve for x
    x = 29,166,925.50/6,202.19
  6. Step 6: Final answer
    x = 4,702.68

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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.