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Finding the Fourth Proportional to 4,206.60, 5,810.82 and 3,764.52

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Solution

The fourth proportional to 4,206.60, 5,810.82 and 3,764.52 is: 5,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.60 : 5,810.82 = 3,764.52 : x
  2. Step 2: Convert to fraction form
    4,206.60/5,810.82 = 3,764.52/x
  3. Step 3: Cross multiply
    4,206.60x = 5,810.82 × 3,764.52
  4. Step 4: Simplify right side
    4,206.60x = 21,874,948.11
  5. Step 5: Solve for x
    x = 21,874,948.11/4,206.60
  6. Step 6: Final answer
    x = 5,200.15

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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.