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Finding the Fourth Proportional to 5,435.70, 8,153.14 and 1,738.32

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Solution

The fourth proportional to 5,435.70, 8,153.14 and 1,738.32 is: 2,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.70 : 8,153.14 = 1,738.32 : x
  2. Step 2: Convert to fraction form
    5,435.70/8,153.14 = 1,738.32/x
  3. Step 3: Cross multiply
    5,435.70x = 8,153.14 × 1,738.32
  4. Step 4: Simplify right side
    5,435.70x = 14,172,766.32
  5. Step 5: Solve for x
    x = 14,172,766.32/5,435.70
  6. Step 6: Final answer
    x = 2,607.35

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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.