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Finding the Fourth Proportional to 3,582.64, 5,373.55 and 985.38

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Solution

The fourth proportional to 3,582.64, 5,373.55 and 985.38 is: 1,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.64 : 5,373.55 = 985.38 : x
  2. Step 2: Convert to fraction form
    3,582.64/5,373.55 = 985.38/x
  3. Step 3: Cross multiply
    3,582.64x = 5,373.55 × 985.38
  4. Step 4: Simplify right side
    3,582.64x = 5,294,988.70
  5. Step 5: Solve for x
    x = 5,294,988.70/3,582.64
  6. Step 6: Final answer
    x = 1,477.96

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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.