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Finding the Fourth Proportional to 4,606.50, 6,356.98 and 2,510.62

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Solution

The fourth proportional to 4,606.50, 6,356.98 and 2,510.62 is: 3,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.50 : 6,356.98 = 2,510.62 : x
  2. Step 2: Convert to fraction form
    4,606.50/6,356.98 = 2,510.62/x
  3. Step 3: Cross multiply
    4,606.50x = 6,356.98 × 2,510.62
  4. Step 4: Simplify right side
    4,606.50x = 15,959,961.13
  5. Step 5: Solve for x
    x = 15,959,961.13/4,606.50
  6. Step 6: Final answer
    x = 3,464.66

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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.