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Finding the Fourth Proportional to 3,582.97, 5,373.50 and 986.05

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Solution

The fourth proportional to 3,582.97, 5,373.50 and 986.05 is: 1,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.97 : 5,373.50 = 986.05 : x
  2. Step 2: Convert to fraction form
    3,582.97/5,373.50 = 986.05/x
  3. Step 3: Cross multiply
    3,582.97x = 5,373.50 × 986.05
  4. Step 4: Simplify right side
    3,582.97x = 5,298,534.74
  5. Step 5: Solve for x
    x = 5,298,534.74/3,582.97
  6. Step 6: Final answer
    x = 1,478.81

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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.