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Finding the Fourth Proportional to 4,655.62, 6,963.90 and 4,305.70

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Solution

The fourth proportional to 4,655.62, 6,963.90 and 4,305.70 is: 6,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.62 : 6,963.90 = 4,305.70 : x
  2. Step 2: Convert to fraction form
    4,655.62/6,963.90 = 4,305.70/x
  3. Step 3: Cross multiply
    4,655.62x = 6,963.90 × 4,305.70
  4. Step 4: Simplify right side
    4,655.62x = 29,984,464.23
  5. Step 5: Solve for x
    x = 29,984,464.23/4,655.62
  6. Step 6: Final answer
    x = 6,440.49

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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.