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Finding the Fourth Proportional to 3,364.38, 5,046.56 and 899.45

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Solution

The fourth proportional to 3,364.38, 5,046.56 and 899.45 is: 1,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.38 : 5,046.56 = 899.45 : x
  2. Step 2: Convert to fraction form
    3,364.38/5,046.56 = 899.45/x
  3. Step 3: Cross multiply
    3,364.38x = 5,046.56 × 899.45
  4. Step 4: Simplify right side
    3,364.38x = 4,539,098.66
  5. Step 5: Solve for x
    x = 4,539,098.66/3,364.38
  6. Step 6: Final answer
    x = 1,349.16

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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.