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Finding the Fourth Proportional to 4,823.53, 6,656.48 and 2,834.11

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Solution

The fourth proportional to 4,823.53, 6,656.48 and 2,834.11 is: 3,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.53 : 6,656.48 = 2,834.11 : x
  2. Step 2: Convert to fraction form
    4,823.53/6,656.48 = 2,834.11/x
  3. Step 3: Cross multiply
    4,823.53x = 6,656.48 × 2,834.11
  4. Step 4: Simplify right side
    4,823.53x = 18,865,182.36
  5. Step 5: Solve for x
    x = 18,865,182.36/4,823.53
  6. Step 6: Final answer
    x = 3,911.07

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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.