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Finding the Fourth Proportional to 5,644.34, 7,787.49 and 3,651.74

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Solution

The fourth proportional to 5,644.34, 7,787.49 and 3,651.74 is: 5,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.34 : 7,787.49 = 3,651.74 : x
  2. Step 2: Convert to fraction form
    5,644.34/7,787.49 = 3,651.74/x
  3. Step 3: Cross multiply
    5,644.34x = 7,787.49 × 3,651.74
  4. Step 4: Simplify right side
    5,644.34x = 28,437,849.80
  5. Step 5: Solve for x
    x = 28,437,849.80/5,644.34
  6. Step 6: Final answer
    x = 5,038.30

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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.