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Finding the Fourth Proportional to 4,964.04, 7,447.28 and 1,501.20

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Solution

The fourth proportional to 4,964.04, 7,447.28 and 1,501.20 is: 2,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.04 : 7,447.28 = 1,501.20 : x
  2. Step 2: Convert to fraction form
    4,964.04/7,447.28 = 1,501.20/x
  3. Step 3: Cross multiply
    4,964.04x = 7,447.28 × 1,501.20
  4. Step 4: Simplify right side
    4,964.04x = 11,179,856.74
  5. Step 5: Solve for x
    x = 11,179,856.74/4,964.04
  6. Step 6: Final answer
    x = 2,252.17

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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.