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Finding the Fourth Proportional to 6,804.46, 10,210.50 and 3,684.40

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Solution

The fourth proportional to 6,804.46, 10,210.50 and 3,684.40 is: 5,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.46 : 10,210.50 = 3,684.40 : x
  2. Step 2: Convert to fraction form
    6,804.46/10,210.50 = 3,684.40/x
  3. Step 3: Cross multiply
    6,804.46x = 10,210.50 × 3,684.40
  4. Step 4: Simplify right side
    6,804.46x = 37,619,566.20
  5. Step 5: Solve for x
    x = 37,619,566.20/6,804.46
  6. Step 6: Final answer
    x = 5,528.66

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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.