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Finding the Fourth Proportional to 5,659.92, 8,485.68 and 1,762.20

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Solution

The fourth proportional to 5,659.92, 8,485.68 and 1,762.20 is: 2,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.92 : 8,485.68 = 1,762.20 : x
  2. Step 2: Convert to fraction form
    5,659.92/8,485.68 = 1,762.20/x
  3. Step 3: Cross multiply
    5,659.92x = 8,485.68 × 1,762.20
  4. Step 4: Simplify right side
    5,659.92x = 14,953,465.30
  5. Step 5: Solve for x
    x = 14,953,465.30/5,659.92
  6. Step 6: Final answer
    x = 2,641.99

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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.