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Finding the Fourth Proportional to 3,074.56, 4,613.13 and 2,088.47

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Solution

The fourth proportional to 3,074.56, 4,613.13 and 2,088.47 is: 3,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.56 : 4,613.13 = 2,088.47 : x
  2. Step 2: Convert to fraction form
    3,074.56/4,613.13 = 2,088.47/x
  3. Step 3: Cross multiply
    3,074.56x = 4,613.13 × 2,088.47
  4. Step 4: Simplify right side
    3,074.56x = 9,634,395.14
  5. Step 5: Solve for x
    x = 9,634,395.14/3,074.56
  6. Step 6: Final answer
    x = 3,133.59

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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.