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Finding the Fourth Proportional to 5,646.92, 7,793.16 and 3,409.34

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Solution

The fourth proportional to 5,646.92, 7,793.16 and 3,409.34 is: 4,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.92 : 7,793.16 = 3,409.34 : x
  2. Step 2: Convert to fraction form
    5,646.92/7,793.16 = 3,409.34/x
  3. Step 3: Cross multiply
    5,646.92x = 7,793.16 × 3,409.34
  4. Step 4: Simplify right side
    5,646.92x = 26,569,532.11
  5. Step 5: Solve for x
    x = 26,569,532.11/5,646.92
  6. Step 6: Final answer
    x = 4,705.14

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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.