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Finding the Fourth Proportional to 3,570.39, 5,356.38 and 1,261.89

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Solution

The fourth proportional to 3,570.39, 5,356.38 and 1,261.89 is: 1,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.39 : 5,356.38 = 1,261.89 : x
  2. Step 2: Convert to fraction form
    3,570.39/5,356.38 = 1,261.89/x
  3. Step 3: Cross multiply
    3,570.39x = 5,356.38 × 1,261.89
  4. Step 4: Simplify right side
    3,570.39x = 6,759,162.36
  5. Step 5: Solve for x
    x = 6,759,162.36/3,570.39
  6. Step 6: Final answer
    x = 1,893.12

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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.