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Finding the Fourth Proportional to 4,843.68, 7,265.52 and 2,071.20

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Solution

The fourth proportional to 4,843.68, 7,265.52 and 2,071.20 is: 3,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.68 : 7,265.52 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    4,843.68/7,265.52 = 2,071.20/x
  3. Step 3: Cross multiply
    4,843.68x = 7,265.52 × 2,071.20
  4. Step 4: Simplify right side
    4,843.68x = 15,048,345.02
  5. Step 5: Solve for x
    x = 15,048,345.02/4,843.68
  6. Step 6: Final answer
    x = 3,106.80

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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.