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Finding the Fourth Proportional to 5,809.02, 8,712.20 and 1,649.46

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Solution

The fourth proportional to 5,809.02, 8,712.20 and 1,649.46 is: 2,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.02 : 8,712.20 = 1,649.46 : x
  2. Step 2: Convert to fraction form
    5,809.02/8,712.20 = 1,649.46/x
  3. Step 3: Cross multiply
    5,809.02x = 8,712.20 × 1,649.46
  4. Step 4: Simplify right side
    5,809.02x = 14,370,425.41
  5. Step 5: Solve for x
    x = 14,370,425.41/5,809.02
  6. Step 6: Final answer
    x = 2,473.81

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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.