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Finding the Fourth Proportional to 5,200.14, 7,800.27 and 1,737.39

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Solution

The fourth proportional to 5,200.14, 7,800.27 and 1,737.39 is: 2,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.14 : 7,800.27 = 1,737.39 : x
  2. Step 2: Convert to fraction form
    5,200.14/7,800.27 = 1,737.39/x
  3. Step 3: Cross multiply
    5,200.14x = 7,800.27 × 1,737.39
  4. Step 4: Simplify right side
    5,200.14x = 13,552,111.10
  5. Step 5: Solve for x
    x = 13,552,111.10/5,200.14
  6. Step 6: Final answer
    x = 2,606.11

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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.