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Finding the Fourth Proportional to 4,128.79, 6,197.10 and 2,564.05

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Solution

The fourth proportional to 4,128.79, 6,197.10 and 2,564.05 is: 3,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.79 : 6,197.10 = 2,564.05 : x
  2. Step 2: Convert to fraction form
    4,128.79/6,197.10 = 2,564.05/x
  3. Step 3: Cross multiply
    4,128.79x = 6,197.10 × 2,564.05
  4. Step 4: Simplify right side
    4,128.79x = 15,889,674.26
  5. Step 5: Solve for x
    x = 15,889,674.26/4,128.79
  6. Step 6: Final answer
    x = 3,848.51

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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.