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Finding the Fourth Proportional to 5,743.08, 7,924.50 and 3,646.26

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Solution

The fourth proportional to 5,743.08, 7,924.50 and 3,646.26 is: 5,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.08 : 7,924.50 = 3,646.26 : x
  2. Step 2: Convert to fraction form
    5,743.08/7,924.50 = 3,646.26/x
  3. Step 3: Cross multiply
    5,743.08x = 7,924.50 × 3,646.26
  4. Step 4: Simplify right side
    5,743.08x = 28,894,787.37
  5. Step 5: Solve for x
    x = 28,894,787.37/5,743.08
  6. Step 6: Final answer
    x = 5,031.24

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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.