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Finding the Fourth Proportional to 6,202.13, 8,558.94 and 3,407.63

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Solution

The fourth proportional to 6,202.13, 8,558.94 and 3,407.63 is: 4,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.13 : 8,558.94 = 3,407.63 : x
  2. Step 2: Convert to fraction form
    6,202.13/8,558.94 = 3,407.63/x
  3. Step 3: Cross multiply
    6,202.13x = 8,558.94 × 3,407.63
  4. Step 4: Simplify right side
    6,202.13x = 29,165,700.71
  5. Step 5: Solve for x
    x = 29,165,700.71/6,202.13
  6. Step 6: Final answer
    x = 4,702.53

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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.