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Finding the Fourth Proportional to 4,537.70, 6,810.60 and 3,922.10

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Solution

The fourth proportional to 4,537.70, 6,810.60 and 3,922.10 is: 5,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.70 : 6,810.60 = 3,922.10 : x
  2. Step 2: Convert to fraction form
    4,537.70/6,810.60 = 3,922.10/x
  3. Step 3: Cross multiply
    4,537.70x = 6,810.60 × 3,922.10
  4. Step 4: Simplify right side
    4,537.70x = 26,711,854.26
  5. Step 5: Solve for x
    x = 26,711,854.26/4,537.70
  6. Step 6: Final answer
    x = 5,886.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.