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Finding the Fourth Proportional to 4,577.64, 6,861.86 and 1,803.24

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Solution

The fourth proportional to 4,577.64, 6,861.86 and 1,803.24 is: 2,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.64 : 6,861.86 = 1,803.24 : x
  2. Step 2: Convert to fraction form
    4,577.64/6,861.86 = 1,803.24/x
  3. Step 3: Cross multiply
    4,577.64x = 6,861.86 × 1,803.24
  4. Step 4: Simplify right side
    4,577.64x = 12,373,571.41
  5. Step 5: Solve for x
    x = 12,373,571.41/4,577.64
  6. Step 6: Final answer
    x = 2,703.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.