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Finding the Fourth Proportional to 3,570.84, 5,356.80 and 1,262.16

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Solution

The fourth proportional to 3,570.84, 5,356.80 and 1,262.16 is: 1,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.84 : 5,356.80 = 1,262.16 : x
  2. Step 2: Convert to fraction form
    3,570.84/5,356.80 = 1,262.16/x
  3. Step 3: Cross multiply
    3,570.84x = 5,356.80 × 1,262.16
  4. Step 4: Simplify right side
    3,570.84x = 6,761,138.69
  5. Step 5: Solve for x
    x = 6,761,138.69/3,570.84
  6. Step 6: Final answer
    x = 1,893.43

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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.