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Finding the Fourth Proportional to 5,017.14, 7,527.03 and 1,730.46

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Solution

The fourth proportional to 5,017.14, 7,527.03 and 1,730.46 is: 2,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.14 : 7,527.03 = 1,730.46 : x
  2. Step 2: Convert to fraction form
    5,017.14/7,527.03 = 1,730.46/x
  3. Step 3: Cross multiply
    5,017.14x = 7,527.03 × 1,730.46
  4. Step 4: Simplify right side
    5,017.14x = 13,025,246.07
  5. Step 5: Solve for x
    x = 13,025,246.07/5,017.14
  6. Step 6: Final answer
    x = 2,596.15

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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.