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Finding the Fourth Proportional to 5,582.52, 7,703.62 and 3,343.10

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Solution

The fourth proportional to 5,582.52, 7,703.62 and 3,343.10 is: 4,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.52 : 7,703.62 = 3,343.10 : x
  2. Step 2: Convert to fraction form
    5,582.52/7,703.62 = 3,343.10/x
  3. Step 3: Cross multiply
    5,582.52x = 7,703.62 × 3,343.10
  4. Step 4: Simplify right side
    5,582.52x = 25,753,972.02
  5. Step 5: Solve for x
    x = 25,753,972.02/5,582.52
  6. Step 6: Final answer
    x = 4,613.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.