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Finding the Fourth Proportional to 4,603.52, 6,905.28 and 3,219.53

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Solution

The fourth proportional to 4,603.52, 6,905.28 and 3,219.53 is: 4,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.52 : 6,905.28 = 3,219.53 : x
  2. Step 2: Convert to fraction form
    4,603.52/6,905.28 = 3,219.53/x
  3. Step 3: Cross multiply
    4,603.52x = 6,905.28 × 3,219.53
  4. Step 4: Simplify right side
    4,603.52x = 22,231,756.12
  5. Step 5: Solve for x
    x = 22,231,756.12/4,603.52
  6. Step 6: Final answer
    x = 4,829.30

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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.