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Finding the Fourth Proportional to 5,952.90, 8,213.34 and 4,690.04

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Solution

The fourth proportional to 5,952.90, 8,213.34 and 4,690.04 is: 6,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.90 : 8,213.34 = 4,690.04 : x
  2. Step 2: Convert to fraction form
    5,952.90/8,213.34 = 4,690.04/x
  3. Step 3: Cross multiply
    5,952.90x = 8,213.34 × 4,690.04
  4. Step 4: Simplify right side
    5,952.90x = 38,520,946.65
  5. Step 5: Solve for x
    x = 38,520,946.65/5,952.90
  6. Step 6: Final answer
    x = 6,470.95

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