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Finding the Fourth Proportional to 3,582.57, 5,373.74 and 985.49

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Solution

The fourth proportional to 3,582.57, 5,373.74 and 985.49 is: 1,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.57 : 5,373.74 = 985.49 : x
  2. Step 2: Convert to fraction form
    3,582.57/5,373.74 = 985.49/x
  3. Step 3: Cross multiply
    3,582.57x = 5,373.74 × 985.49
  4. Step 4: Simplify right side
    3,582.57x = 5,295,742.63
  5. Step 5: Solve for x
    x = 5,295,742.63/3,582.57
  6. Step 6: Final answer
    x = 1,478.20

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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.