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Finding the Fourth Proportional to 3,560.96, 4,913.76 and 2,164.16

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Solution

The fourth proportional to 3,560.96, 4,913.76 and 2,164.16 is: 2,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.96 : 4,913.76 = 2,164.16 : x
  2. Step 2: Convert to fraction form
    3,560.96/4,913.76 = 2,164.16/x
  3. Step 3: Cross multiply
    3,560.96x = 4,913.76 × 2,164.16
  4. Step 4: Simplify right side
    3,560.96x = 10,634,162.84
  5. Step 5: Solve for x
    x = 10,634,162.84/3,560.96
  6. Step 6: Final answer
    x = 2,986.32

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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.