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Finding the Fourth Proportional to 3,476.66, 5,214.95 and 844.19

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Solution

The fourth proportional to 3,476.66, 5,214.95 and 844.19 is: 1,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.66 : 5,214.95 = 844.19 : x
  2. Step 2: Convert to fraction form
    3,476.66/5,214.95 = 844.19/x
  3. Step 3: Cross multiply
    3,476.66x = 5,214.95 × 844.19
  4. Step 4: Simplify right side
    3,476.66x = 4,402,410.84
  5. Step 5: Solve for x
    x = 4,402,410.84/3,476.66
  6. Step 6: Final answer
    x = 1,266.27

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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.