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Finding the Fourth Proportional to 4,601.50, 6,350.10 and 2,505.64

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Solution

The fourth proportional to 4,601.50, 6,350.10 and 2,505.64 is: 3,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.50 : 6,350.10 = 2,505.64 : x
  2. Step 2: Convert to fraction form
    4,601.50/6,350.10 = 2,505.64/x
  3. Step 3: Cross multiply
    4,601.50x = 6,350.10 × 2,505.64
  4. Step 4: Simplify right side
    4,601.50x = 15,911,064.56
  5. Step 5: Solve for x
    x = 15,911,064.56/4,601.50
  6. Step 6: Final answer
    x = 3,457.80

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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.