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Finding the Fourth Proportional to 5,703.49, 7,871.61 and 3,346.39

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Solution

The fourth proportional to 5,703.49, 7,871.61 and 3,346.39 is: 4,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.49 : 7,871.61 = 3,346.39 : x
  2. Step 2: Convert to fraction form
    5,703.49/7,871.61 = 3,346.39/x
  3. Step 3: Cross multiply
    5,703.49x = 7,871.61 × 3,346.39
  4. Step 4: Simplify right side
    5,703.49x = 26,341,476.99
  5. Step 5: Solve for x
    x = 26,341,476.99/5,703.49
  6. Step 6: Final answer
    x = 4,618.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.