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Finding the Fourth Proportional to 5,168.16, 7,762.20 and 4,429.44

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Solution

The fourth proportional to 5,168.16, 7,762.20 and 4,429.44 is: 6,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.16 : 7,762.20 = 4,429.44 : x
  2. Step 2: Convert to fraction form
    5,168.16/7,762.20 = 4,429.44/x
  3. Step 3: Cross multiply
    5,168.16x = 7,762.20 × 4,429.44
  4. Step 4: Simplify right side
    5,168.16x = 34,382,199.17
  5. Step 5: Solve for x
    x = 34,382,199.17/5,168.16
  6. Step 6: Final answer
    x = 6,652.70

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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.