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Finding the Fourth Proportional to 4,599.76, 6,901.20 and 2,004.40

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Solution

The fourth proportional to 4,599.76, 6,901.20 and 2,004.40 is: 3,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.76 : 6,901.20 = 2,004.40 : x
  2. Step 2: Convert to fraction form
    4,599.76/6,901.20 = 2,004.40/x
  3. Step 3: Cross multiply
    4,599.76x = 6,901.20 × 2,004.40
  4. Step 4: Simplify right side
    4,599.76x = 13,832,765.28
  5. Step 5: Solve for x
    x = 13,832,765.28/4,599.76
  6. Step 6: Final answer
    x = 3,007.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.