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Finding the Fourth Proportional to 5,582.84, 7,705.26 and 3,226.34

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Solution

The fourth proportional to 5,582.84, 7,705.26 and 3,226.34 is: 4,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.84 : 7,705.26 = 3,226.34 : x
  2. Step 2: Convert to fraction form
    5,582.84/7,705.26 = 3,226.34/x
  3. Step 3: Cross multiply
    5,582.84x = 7,705.26 × 3,226.34
  4. Step 4: Simplify right side
    5,582.84x = 24,859,807.81
  5. Step 5: Solve for x
    x = 24,859,807.81/5,582.84
  6. Step 6: Final answer
    x = 4,452.90

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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.