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Finding the Fourth Proportional to 3,477.60, 4,808.16 and 3,283.20

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Solution

The fourth proportional to 3,477.60, 4,808.16 and 3,283.20 is: 4,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.60 : 4,808.16 = 3,283.20 : x
  2. Step 2: Convert to fraction form
    3,477.60/4,808.16 = 3,283.20/x
  3. Step 3: Cross multiply
    3,477.60x = 4,808.16 × 3,283.20
  4. Step 4: Simplify right side
    3,477.60x = 15,786,150.91
  5. Step 5: Solve for x
    x = 15,786,150.91/3,477.60
  6. Step 6: Final answer
    x = 4,539.38

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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.