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Finding the Fourth Proportional to 3,891.74, 5,837.55 and 970.07

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Solution

The fourth proportional to 3,891.74, 5,837.55 and 970.07 is: 1,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.74 : 5,837.55 = 970.07 : x
  2. Step 2: Convert to fraction form
    3,891.74/5,837.55 = 970.07/x
  3. Step 3: Cross multiply
    3,891.74x = 5,837.55 × 970.07
  4. Step 4: Simplify right side
    3,891.74x = 5,662,832.13
  5. Step 5: Solve for x
    x = 5,662,832.13/3,891.74
  6. Step 6: Final answer
    x = 1,455.09

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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.