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Finding the Fourth Proportional to 4,952.71, 7,427.07 and 2,102.02

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Solution

The fourth proportional to 4,952.71, 7,427.07 and 2,102.02 is: 3,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.71 : 7,427.07 = 2,102.02 : x
  2. Step 2: Convert to fraction form
    4,952.71/7,427.07 = 2,102.02/x
  3. Step 3: Cross multiply
    4,952.71x = 7,427.07 × 2,102.02
  4. Step 4: Simplify right side
    4,952.71x = 15,611,831.11
  5. Step 5: Solve for x
    x = 15,611,831.11/4,952.71
  6. Step 6: Final answer
    x = 3,152.18

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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.