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Finding the Fourth Proportional to 5,622.23, 7,753.38 and 4,209.32

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Solution

The fourth proportional to 5,622.23, 7,753.38 and 4,209.32 is: 5,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.23 : 7,753.38 = 4,209.32 : x
  2. Step 2: Convert to fraction form
    5,622.23/7,753.38 = 4,209.32/x
  3. Step 3: Cross multiply
    5,622.23x = 7,753.38 × 4,209.32
  4. Step 4: Simplify right side
    5,622.23x = 32,636,457.50
  5. Step 5: Solve for x
    x = 32,636,457.50/5,622.23
  6. Step 6: Final answer
    x = 5,804.90

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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.