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Finding the Fourth Proportional to 3,653.40, 5,480.10 and 1,314.53

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Solution

The fourth proportional to 3,653.40, 5,480.10 and 1,314.53 is: 1,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.40 : 5,480.10 = 1,314.53 : x
  2. Step 2: Convert to fraction form
    3,653.40/5,480.10 = 1,314.53/x
  3. Step 3: Cross multiply
    3,653.40x = 5,480.10 × 1,314.53
  4. Step 4: Simplify right side
    3,653.40x = 7,203,728.45
  5. Step 5: Solve for x
    x = 7,203,728.45/3,653.40
  6. Step 6: Final answer
    x = 1,971.79

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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.