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Finding the Fourth Proportional to 4,603.66, 6,907.14 and 2,263.42

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Solution

The fourth proportional to 4,603.66, 6,907.14 and 2,263.42 is: 3,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.66 : 6,907.14 = 2,263.42 : x
  2. Step 2: Convert to fraction form
    4,603.66/6,907.14 = 2,263.42/x
  3. Step 3: Cross multiply
    4,603.66x = 6,907.14 × 2,263.42
  4. Step 4: Simplify right side
    4,603.66x = 15,633,758.82
  5. Step 5: Solve for x
    x = 15,633,758.82/4,603.66
  6. Step 6: Final answer
    x = 3,395.94

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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.