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Finding the Fourth Proportional to 4,603.38, 6,352.44 and 2,507.46

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Solution

The fourth proportional to 4,603.38, 6,352.44 and 2,507.46 is: 3,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.38 : 6,352.44 = 2,507.46 : x
  2. Step 2: Convert to fraction form
    4,603.38/6,352.44 = 2,507.46/x
  3. Step 3: Cross multiply
    4,603.38x = 6,352.44 × 2,507.46
  4. Step 4: Simplify right side
    4,603.38x = 15,928,489.20
  5. Step 5: Solve for x
    x = 15,928,489.20/4,603.38
  6. Step 6: Final answer
    x = 3,460.17

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Why These Related Problems?

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