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Finding the Fourth Proportional to 5,305.57, 7,957.28 and 1,606.93

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Solution

The fourth proportional to 5,305.57, 7,957.28 and 1,606.93 is: 2,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.57 : 7,957.28 = 1,606.93 : x
  2. Step 2: Convert to fraction form
    5,305.57/7,957.28 = 1,606.93/x
  3. Step 3: Cross multiply
    5,305.57x = 7,957.28 × 1,606.93
  4. Step 4: Simplify right side
    5,305.57x = 12,786,776.07
  5. Step 5: Solve for x
    x = 12,786,776.07/5,305.57
  6. Step 6: Final answer
    x = 2,410.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.