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Finding the Fourth Proportional to 5,175.04, 7,764 and 2,868.16

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Solution

The fourth proportional to 5,175.04, 7,764 and 2,868.16 is: 4,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.04 : 7,764 = 2,868.16 : x
  2. Step 2: Convert to fraction form
    5,175.04/7,764 = 2,868.16/x
  3. Step 3: Cross multiply
    5,175.04x = 7,764 × 2,868.16
  4. Step 4: Simplify right side
    5,175.04x = 22,268,394.24
  5. Step 5: Solve for x
    x = 22,268,394.24/5,175.04
  6. Step 6: Final answer
    x = 4,303.04

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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.