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Finding the Fourth Proportional to 4,753.40, 7,130.71 and 2,561.14

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Solution

The fourth proportional to 4,753.40, 7,130.71 and 2,561.14 is: 3,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.40 : 7,130.71 = 2,561.14 : x
  2. Step 2: Convert to fraction form
    4,753.40/7,130.71 = 2,561.14/x
  3. Step 3: Cross multiply
    4,753.40x = 7,130.71 × 2,561.14
  4. Step 4: Simplify right side
    4,753.40x = 18,262,710.96
  5. Step 5: Solve for x
    x = 18,262,710.96/4,753.40
  6. Step 6: Final answer
    x = 3,842.03

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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.