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Finding the Fourth Proportional to 4,670.94, 6,490.14 and 4,622.19

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Solution

The fourth proportional to 4,670.94, 6,490.14 and 4,622.19 is: 6,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.94 : 6,490.14 = 4,622.19 : x
  2. Step 2: Convert to fraction form
    4,670.94/6,490.14 = 4,622.19/x
  3. Step 3: Cross multiply
    4,670.94x = 6,490.14 × 4,622.19
  4. Step 4: Simplify right side
    4,670.94x = 29,998,655.04
  5. Step 5: Solve for x
    x = 29,998,655.04/4,670.94
  6. Step 6: Final answer
    x = 6,422.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.