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Finding the Fourth Proportional to 6,326.04, 8,730 and 3,672.48

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Solution

The fourth proportional to 6,326.04, 8,730 and 3,672.48 is: 5,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.04 : 8,730 = 3,672.48 : x
  2. Step 2: Convert to fraction form
    6,326.04/8,730 = 3,672.48/x
  3. Step 3: Cross multiply
    6,326.04x = 8,730 × 3,672.48
  4. Step 4: Simplify right side
    6,326.04x = 32,060,750.40
  5. Step 5: Solve for x
    x = 32,060,750.40/6,326.04
  6. Step 6: Final answer
    x = 5,068.06

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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.