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Finding the Fourth Proportional to 4,823.70, 6,655.95 and 2,835.96

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Solution

The fourth proportional to 4,823.70, 6,655.95 and 2,835.96 is: 3,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.70 : 6,655.95 = 2,835.96 : x
  2. Step 2: Convert to fraction form
    4,823.70/6,655.95 = 2,835.96/x
  3. Step 3: Cross multiply
    4,823.70x = 6,655.95 × 2,835.96
  4. Step 4: Simplify right side
    4,823.70x = 18,876,007.96
  5. Step 5: Solve for x
    x = 18,876,007.96/4,823.70
  6. Step 6: Final answer
    x = 3,913.18

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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.