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Finding the Fourth Proportional to 4,145.56, 5,720.64 and 2,377

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Solution

The fourth proportional to 4,145.56, 5,720.64 and 2,377 is: 3,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.56 : 5,720.64 = 2,377 : x
  2. Step 2: Convert to fraction form
    4,145.56/5,720.64 = 2,377/x
  3. Step 3: Cross multiply
    4,145.56x = 5,720.64 × 2,377
  4. Step 4: Simplify right side
    4,145.56x = 13,597,961.28
  5. Step 5: Solve for x
    x = 13,597,961.28/4,145.56
  6. Step 6: Final answer
    x = 3,280.13

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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.