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Finding the Fourth Proportional to 3,582.12, 5,373.18 and 985.44

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Solution

The fourth proportional to 3,582.12, 5,373.18 and 985.44 is: 1,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.12 : 5,373.18 = 985.44 : x
  2. Step 2: Convert to fraction form
    3,582.12/5,373.18 = 985.44/x
  3. Step 3: Cross multiply
    3,582.12x = 5,373.18 × 985.44
  4. Step 4: Simplify right side
    3,582.12x = 5,294,946.50
  5. Step 5: Solve for x
    x = 5,294,946.50/3,582.12
  6. Step 6: Final answer
    x = 1,478.16

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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.