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Finding the Fourth Proportional to 5,200.01, 7,171.93 and 4,603.13

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Solution

The fourth proportional to 5,200.01, 7,171.93 and 4,603.13 is: 6,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.01 : 7,171.93 = 4,603.13 : x
  2. Step 2: Convert to fraction form
    5,200.01/7,171.93 = 4,603.13/x
  3. Step 3: Cross multiply
    5,200.01x = 7,171.93 × 4,603.13
  4. Step 4: Simplify right side
    5,200.01x = 33,013,326.14
  5. Step 5: Solve for x
    x = 33,013,326.14/5,200.01
  6. Step 6: Final answer
    x = 6,348.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.