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Finding the Fourth Proportional to 4,972.77, 7,460.28 and 1,509.75

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Solution

The fourth proportional to 4,972.77, 7,460.28 and 1,509.75 is: 2,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.77 : 7,460.28 = 1,509.75 : x
  2. Step 2: Convert to fraction form
    4,972.77/7,460.28 = 1,509.75/x
  3. Step 3: Cross multiply
    4,972.77x = 7,460.28 × 1,509.75
  4. Step 4: Simplify right side
    4,972.77x = 11,263,157.73
  5. Step 5: Solve for x
    x = 11,263,157.73/4,972.77
  6. Step 6: Final answer
    x = 2,264.97

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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.