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Finding the Fourth Proportional to 4,235.69, 5,885.66 and 4,190.13

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Solution

The fourth proportional to 4,235.69, 5,885.66 and 4,190.13 is: 5,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.69 : 5,885.66 = 4,190.13 : x
  2. Step 2: Convert to fraction form
    4,235.69/5,885.66 = 4,190.13/x
  3. Step 3: Cross multiply
    4,235.69x = 5,885.66 × 4,190.13
  4. Step 4: Simplify right side
    4,235.69x = 24,661,691.01
  5. Step 5: Solve for x
    x = 24,661,691.01/4,235.69
  6. Step 6: Final answer
    x = 5,822.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.