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Finding the Fourth Proportional to 5,002.20, 6,905 and 4,477.32

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Solution

The fourth proportional to 5,002.20, 6,905 and 4,477.32 is: 6,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.20 : 6,905 = 4,477.32 : x
  2. Step 2: Convert to fraction form
    5,002.20/6,905 = 4,477.32/x
  3. Step 3: Cross multiply
    5,002.20x = 6,905 × 4,477.32
  4. Step 4: Simplify right side
    5,002.20x = 30,915,894.60
  5. Step 5: Solve for x
    x = 30,915,894.60/5,002.20
  6. Step 6: Final answer
    x = 6,180.46

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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.