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Finding the Fourth Proportional to 4,603.97, 6,905.81 and 1,484.19

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Solution

The fourth proportional to 4,603.97, 6,905.81 and 1,484.19 is: 2,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.97 : 6,905.81 = 1,484.19 : x
  2. Step 2: Convert to fraction form
    4,603.97/6,905.81 = 1,484.19/x
  3. Step 3: Cross multiply
    4,603.97x = 6,905.81 × 1,484.19
  4. Step 4: Simplify right side
    4,603.97x = 10,249,537.85
  5. Step 5: Solve for x
    x = 10,249,537.85/4,603.97
  6. Step 6: Final answer
    x = 2,226.24

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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.