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Finding the Fourth Proportional to 4,188.16, 6,282.04 and 1,722.32

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Solution

The fourth proportional to 4,188.16, 6,282.04 and 1,722.32 is: 2,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.16 : 6,282.04 = 1,722.32 : x
  2. Step 2: Convert to fraction form
    4,188.16/6,282.04 = 1,722.32/x
  3. Step 3: Cross multiply
    4,188.16x = 6,282.04 × 1,722.32
  4. Step 4: Simplify right side
    4,188.16x = 10,819,683.13
  5. Step 5: Solve for x
    x = 10,819,683.13/4,188.16
  6. Step 6: Final answer
    x = 2,583.40

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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.