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Finding the Fourth Proportional to 4,603.82, 6,905.66 and 1,141.07

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Solution

The fourth proportional to 4,603.82, 6,905.66 and 1,141.07 is: 1,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.82 : 6,905.66 = 1,141.07 : x
  2. Step 2: Convert to fraction form
    4,603.82/6,905.66 = 1,141.07/x
  3. Step 3: Cross multiply
    4,603.82x = 6,905.66 × 1,141.07
  4. Step 4: Simplify right side
    4,603.82x = 7,879,801.22
  5. Step 5: Solve for x
    x = 7,879,801.22/4,603.82
  6. Step 6: Final answer
    x = 1,711.58

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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.