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Finding the Fourth Proportional to 6,504.60, 9,753.66 and 3,580.50

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Solution

The fourth proportional to 6,504.60, 9,753.66 and 3,580.50 is: 5,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.60 : 9,753.66 = 3,580.50 : x
  2. Step 2: Convert to fraction form
    6,504.60/9,753.66 = 3,580.50/x
  3. Step 3: Cross multiply
    6,504.60x = 9,753.66 × 3,580.50
  4. Step 4: Simplify right side
    6,504.60x = 34,922,979.63
  5. Step 5: Solve for x
    x = 34,922,979.63/6,504.60
  6. Step 6: Final answer
    x = 5,368.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.