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Finding the Fourth Proportional to 4,980.96, 6,872.85 and 3,657.83

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Solution

The fourth proportional to 4,980.96, 6,872.85 and 3,657.83 is: 5,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.96 : 6,872.85 = 3,657.83 : x
  2. Step 2: Convert to fraction form
    4,980.96/6,872.85 = 3,657.83/x
  3. Step 3: Cross multiply
    4,980.96x = 6,872.85 × 3,657.83
  4. Step 4: Simplify right side
    4,980.96x = 25,139,682.55
  5. Step 5: Solve for x
    x = 25,139,682.55/4,980.96
  6. Step 6: Final answer
    x = 5,047.16

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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.