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Finding the Fourth Proportional to 6,323.64, 8,726.74 and 3,672.52

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Solution

The fourth proportional to 6,323.64, 8,726.74 and 3,672.52 is: 5,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.64 : 8,726.74 = 3,672.52 : x
  2. Step 2: Convert to fraction form
    6,323.64/8,726.74 = 3,672.52/x
  3. Step 3: Cross multiply
    6,323.64x = 8,726.74 × 3,672.52
  4. Step 4: Simplify right side
    6,323.64x = 32,049,127.18
  5. Step 5: Solve for x
    x = 32,049,127.18/6,323.64
  6. Step 6: Final answer
    x = 5,068.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.