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Finding the Fourth Proportional to 5,671.65, 7,826.49 and 3,153.78

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Solution

The fourth proportional to 5,671.65, 7,826.49 and 3,153.78 is: 4,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.65 : 7,826.49 = 3,153.78 : x
  2. Step 2: Convert to fraction form
    5,671.65/7,826.49 = 3,153.78/x
  3. Step 3: Cross multiply
    5,671.65x = 7,826.49 × 3,153.78
  4. Step 4: Simplify right side
    5,671.65x = 24,683,027.63
  5. Step 5: Solve for x
    x = 24,683,027.63/5,671.65
  6. Step 6: Final answer
    x = 4,352.00

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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.