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Finding the Fourth Proportional to 5,703.86, 7,871.82 and 3,346.40

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Solution

The fourth proportional to 5,703.86, 7,871.82 and 3,346.40 is: 4,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.86 : 7,871.82 = 3,346.40 : x
  2. Step 2: Convert to fraction form
    5,703.86/7,871.82 = 3,346.40/x
  3. Step 3: Cross multiply
    5,703.86x = 7,871.82 × 3,346.40
  4. Step 4: Simplify right side
    5,703.86x = 26,342,258.45
  5. Step 5: Solve for x
    x = 26,342,258.45/5,703.86
  6. Step 6: Final answer
    x = 4,618.32

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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.