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Finding the Fourth Proportional to 5,175.40, 7,763.12 and 2,710.95

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Solution

The fourth proportional to 5,175.40, 7,763.12 and 2,710.95 is: 4,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.40 : 7,763.12 = 2,710.95 : x
  2. Step 2: Convert to fraction form
    5,175.40/7,763.12 = 2,710.95/x
  3. Step 3: Cross multiply
    5,175.40x = 7,763.12 × 2,710.95
  4. Step 4: Simplify right side
    5,175.40x = 21,045,430.16
  5. Step 5: Solve for x
    x = 21,045,430.16/5,175.40
  6. Step 6: Final answer
    x = 4,066.44

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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.