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Finding the Fourth Proportional to 5,787.94, 7,985.50 and 3,548.70

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Solution

The fourth proportional to 5,787.94, 7,985.50 and 3,548.70 is: 4,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.94 : 7,985.50 = 3,548.70 : x
  2. Step 2: Convert to fraction form
    5,787.94/7,985.50 = 3,548.70/x
  3. Step 3: Cross multiply
    5,787.94x = 7,985.50 × 3,548.70
  4. Step 4: Simplify right side
    5,787.94x = 28,338,086.18
  5. Step 5: Solve for x
    x = 28,338,086.18/5,787.94
  6. Step 6: Final answer
    x = 4,896.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.