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Finding the Fourth Proportional to 4,690.32, 6,474.06 and 2,802.66

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Solution

The fourth proportional to 4,690.32, 6,474.06 and 2,802.66 is: 3,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.32 : 6,474.06 = 2,802.66 : x
  2. Step 2: Convert to fraction form
    4,690.32/6,474.06 = 2,802.66/x
  3. Step 3: Cross multiply
    4,690.32x = 6,474.06 × 2,802.66
  4. Step 4: Simplify right side
    4,690.32x = 18,144,589.00
  5. Step 5: Solve for x
    x = 18,144,589.00/4,690.32
  6. Step 6: Final answer
    x = 3,868.52

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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.