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Finding the Fourth Proportional to 3,787.95, 5,682.75 and 1,597.71

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Solution

The fourth proportional to 3,787.95, 5,682.75 and 1,597.71 is: 2,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.95 : 5,682.75 = 1,597.71 : x
  2. Step 2: Convert to fraction form
    3,787.95/5,682.75 = 1,597.71/x
  3. Step 3: Cross multiply
    3,787.95x = 5,682.75 × 1,597.71
  4. Step 4: Simplify right side
    3,787.95x = 9,079,386.50
  5. Step 5: Solve for x
    x = 9,079,386.50/3,787.95
  6. Step 6: Final answer
    x = 2,396.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.