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Finding the Fourth Proportional to 6,504.30, 8,975.88 and 3,520.10

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Solution

The fourth proportional to 6,504.30, 8,975.88 and 3,520.10 is: 4,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.30 : 8,975.88 = 3,520.10 : x
  2. Step 2: Convert to fraction form
    6,504.30/8,975.88 = 3,520.10/x
  3. Step 3: Cross multiply
    6,504.30x = 8,975.88 × 3,520.10
  4. Step 4: Simplify right side
    6,504.30x = 31,596,017.63
  5. Step 5: Solve for x
    x = 31,596,017.63/6,504.30
  6. Step 6: Final answer
    x = 4,857.71

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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.