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Finding the Fourth Proportional to 2,976.76, 4,460.62 and 2,357.88

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Solution

The fourth proportional to 2,976.76, 4,460.62 and 2,357.88 is: 3,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.76 : 4,460.62 = 2,357.88 : x
  2. Step 2: Convert to fraction form
    2,976.76/4,460.62 = 2,357.88/x
  3. Step 3: Cross multiply
    2,976.76x = 4,460.62 × 2,357.88
  4. Step 4: Simplify right side
    2,976.76x = 10,517,606.69
  5. Step 5: Solve for x
    x = 10,517,606.69/2,976.76
  6. Step 6: Final answer
    x = 3,533.24

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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.