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Finding the Fourth Proportional to 6,206.40, 8,569.80 and 4,083.60

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Solution

The fourth proportional to 6,206.40, 8,569.80 and 4,083.60 is: 5,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.40 : 8,569.80 = 4,083.60 : x
  2. Step 2: Convert to fraction form
    6,206.40/8,569.80 = 4,083.60/x
  3. Step 3: Cross multiply
    6,206.40x = 8,569.80 × 4,083.60
  4. Step 4: Simplify right side
    6,206.40x = 34,995,635.28
  5. Step 5: Solve for x
    x = 34,995,635.28/6,206.40
  6. Step 6: Final answer
    x = 5,638.64

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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.