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Finding the Fourth Proportional to 5,703.52, 7,871.64 and 3,346.42

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Solution

The fourth proportional to 5,703.52, 7,871.64 and 3,346.42 is: 4,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.52 : 7,871.64 = 3,346.42 : x
  2. Step 2: Convert to fraction form
    5,703.52/7,871.64 = 3,346.42/x
  3. Step 3: Cross multiply
    5,703.52x = 7,871.64 × 3,346.42
  4. Step 4: Simplify right side
    5,703.52x = 26,341,813.53
  5. Step 5: Solve for x
    x = 26,341,813.53/5,703.52
  6. Step 6: Final answer
    x = 4,618.52

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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.