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Finding the Fourth Proportional to 5,297.39, 7,946.18 and 1,787.46

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Solution

The fourth proportional to 5,297.39, 7,946.18 and 1,787.46 is: 2,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.39 : 7,946.18 = 1,787.46 : x
  2. Step 2: Convert to fraction form
    5,297.39/7,946.18 = 1,787.46/x
  3. Step 3: Cross multiply
    5,297.39x = 7,946.18 × 1,787.46
  4. Step 4: Simplify right side
    5,297.39x = 14,203,478.90
  5. Step 5: Solve for x
    x = 14,203,478.90/5,297.39
  6. Step 6: Final answer
    x = 2,681.22

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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.