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Finding the Fourth Proportional to 4,383.70, 6,543.58 and 3,830.11

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Solution

The fourth proportional to 4,383.70, 6,543.58 and 3,830.11 is: 5,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.70 : 6,543.58 = 3,830.11 : x
  2. Step 2: Convert to fraction form
    4,383.70/6,543.58 = 3,830.11/x
  3. Step 3: Cross multiply
    4,383.70x = 6,543.58 × 3,830.11
  4. Step 4: Simplify right side
    4,383.70x = 25,062,631.19
  5. Step 5: Solve for x
    x = 25,062,631.19/4,383.70
  6. Step 6: Final answer
    x = 5,717.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.