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Finding the Fourth Proportional to 5,122.13, 7,684 and 1,835.15

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Solution

The fourth proportional to 5,122.13, 7,684 and 1,835.15 is: 2,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.13 : 7,684 = 1,835.15 : x
  2. Step 2: Convert to fraction form
    5,122.13/7,684 = 1,835.15/x
  3. Step 3: Cross multiply
    5,122.13x = 7,684 × 1,835.15
  4. Step 4: Simplify right side
    5,122.13x = 14,101,254.18
  5. Step 5: Solve for x
    x = 14,101,254.18/5,122.13
  6. Step 6: Final answer
    x = 2,753.01

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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.