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Finding the Fourth Proportional to 6,346.18, 8,758.19 and 3,657.83

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Solution

The fourth proportional to 6,346.18, 8,758.19 and 3,657.83 is: 5,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.18 : 8,758.19 = 3,657.83 : x
  2. Step 2: Convert to fraction form
    6,346.18/8,758.19 = 3,657.83/x
  3. Step 3: Cross multiply
    6,346.18x = 8,758.19 × 3,657.83
  4. Step 4: Simplify right side
    6,346.18x = 32,035,970.13
  5. Step 5: Solve for x
    x = 32,035,970.13/6,346.18
  6. Step 6: Final answer
    x = 5,048.07

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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.