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Finding the Fourth Proportional to 5,172.94, 7,760.62 and 1,710.19

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Solution

The fourth proportional to 5,172.94, 7,760.62 and 1,710.19 is: 2,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.94 : 7,760.62 = 1,710.19 : x
  2. Step 2: Convert to fraction form
    5,172.94/7,760.62 = 1,710.19/x
  3. Step 3: Cross multiply
    5,172.94x = 7,760.62 × 1,710.19
  4. Step 4: Simplify right side
    5,172.94x = 13,272,134.72
  5. Step 5: Solve for x
    x = 13,272,134.72/5,172.94
  6. Step 6: Final answer
    x = 2,565.69

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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.