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Finding the Fourth Proportional to 6,326.50, 8,730.48 and 3,675.40

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Solution

The fourth proportional to 6,326.50, 8,730.48 and 3,675.40 is: 5,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.50 : 8,730.48 = 3,675.40 : x
  2. Step 2: Convert to fraction form
    6,326.50/8,730.48 = 3,675.40/x
  3. Step 3: Cross multiply
    6,326.50x = 8,730.48 × 3,675.40
  4. Step 4: Simplify right side
    6,326.50x = 32,088,006.19
  5. Step 5: Solve for x
    x = 32,088,006.19/6,326.50
  6. Step 6: Final answer
    x = 5,072.00

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