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Finding the Fourth Proportional to 3,461.50, 4,777.53 and 2,117.71

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Solution

The fourth proportional to 3,461.50, 4,777.53 and 2,117.71 is: 2,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.50 : 4,777.53 = 2,117.71 : x
  2. Step 2: Convert to fraction form
    3,461.50/4,777.53 = 2,117.71/x
  3. Step 3: Cross multiply
    3,461.50x = 4,777.53 × 2,117.71
  4. Step 4: Simplify right side
    3,461.50x = 10,117,423.06
  5. Step 5: Solve for x
    x = 10,117,423.06/3,461.50
  6. Step 6: Final answer
    x = 2,922.84

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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.