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Finding the Fourth Proportional to 4,200.88, 6,297 and 1,603.12

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Solution

The fourth proportional to 4,200.88, 6,297 and 1,603.12 is: 2,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.88 : 6,297 = 1,603.12 : x
  2. Step 2: Convert to fraction form
    4,200.88/6,297 = 1,603.12/x
  3. Step 3: Cross multiply
    4,200.88x = 6,297 × 1,603.12
  4. Step 4: Simplify right side
    4,200.88x = 10,094,846.64
  5. Step 5: Solve for x
    x = 10,094,846.64/4,200.88
  6. Step 6: Final answer
    x = 2,403.03

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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.