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Finding the Fourth Proportional to 3,402.95, 5,103.47 and 937.17

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Solution

The fourth proportional to 3,402.95, 5,103.47 and 937.17 is: 1,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.95 : 5,103.47 = 937.17 : x
  2. Step 2: Convert to fraction form
    3,402.95/5,103.47 = 937.17/x
  3. Step 3: Cross multiply
    3,402.95x = 5,103.47 × 937.17
  4. Step 4: Simplify right side
    3,402.95x = 4,782,821.32
  5. Step 5: Solve for x
    x = 4,782,821.32/3,402.95
  6. Step 6: Final answer
    x = 1,405.49

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Double scale
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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.