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Finding the Fourth Proportional to 4,603.14, 6,907.19 and 2,005.92

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Solution

The fourth proportional to 4,603.14, 6,907.19 and 2,005.92 is: 3,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.14 : 6,907.19 = 2,005.92 : x
  2. Step 2: Convert to fraction form
    4,603.14/6,907.19 = 2,005.92/x
  3. Step 3: Cross multiply
    4,603.14x = 6,907.19 × 2,005.92
  4. Step 4: Simplify right side
    4,603.14x = 13,855,260.54
  5. Step 5: Solve for x
    x = 13,855,260.54/4,603.14
  6. Step 6: Final answer
    x = 3,009.96

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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.