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Finding the Fourth Proportional to 3,764.16, 5,646.16 and 2,009.76

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Solution

The fourth proportional to 3,764.16, 5,646.16 and 2,009.76 is: 3,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.16 : 5,646.16 = 2,009.76 : x
  2. Step 2: Convert to fraction form
    3,764.16/5,646.16 = 2,009.76/x
  3. Step 3: Cross multiply
    3,764.16x = 5,646.16 × 2,009.76
  4. Step 4: Simplify right side
    3,764.16x = 11,347,426.52
  5. Step 5: Solve for x
    x = 11,347,426.52/3,764.16
  6. Step 6: Final answer
    x = 3,014.60

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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.