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Finding the Fourth Proportional to 4,535.68, 6,802.08 and 3,084.16

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Solution

The fourth proportional to 4,535.68, 6,802.08 and 3,084.16 is: 4,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.68 : 6,802.08 = 3,084.16 : x
  2. Step 2: Convert to fraction form
    4,535.68/6,802.08 = 3,084.16/x
  3. Step 3: Cross multiply
    4,535.68x = 6,802.08 × 3,084.16
  4. Step 4: Simplify right side
    4,535.68x = 20,978,703.05
  5. Step 5: Solve for x
    x = 20,978,703.05/4,535.68
  6. Step 6: Final answer
    x = 4,625.26

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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.