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Finding the Fourth Proportional to 4,645.64, 6,966.06 and 2,670.88

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Solution

The fourth proportional to 4,645.64, 6,966.06 and 2,670.88 is: 4,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.64 : 6,966.06 = 2,670.88 : x
  2. Step 2: Convert to fraction form
    4,645.64/6,966.06 = 2,670.88/x
  3. Step 3: Cross multiply
    4,645.64x = 6,966.06 × 2,670.88
  4. Step 4: Simplify right side
    4,645.64x = 18,605,510.33
  5. Step 5: Solve for x
    x = 18,605,510.33/4,645.64
  6. Step 6: Final answer
    x = 4,004.94

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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.