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Finding the Fourth Proportional to 5,200.41, 7,801.88 and 1,737.93

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Solution

The fourth proportional to 5,200.41, 7,801.88 and 1,737.93 is: 2,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.41 : 7,801.88 = 1,737.93 : x
  2. Step 2: Convert to fraction form
    5,200.41/7,801.88 = 1,737.93/x
  3. Step 3: Cross multiply
    5,200.41x = 7,801.88 × 1,737.93
  4. Step 4: Simplify right side
    5,200.41x = 13,559,112.62
  5. Step 5: Solve for x
    x = 13,559,112.62/5,200.41
  6. Step 6: Final answer
    x = 2,607.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.