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Finding the Fourth Proportional to 4,271.19, 6,407.12 and 1,639.97

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Solution

The fourth proportional to 4,271.19, 6,407.12 and 1,639.97 is: 2,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.19 : 6,407.12 = 1,639.97 : x
  2. Step 2: Convert to fraction form
    4,271.19/6,407.12 = 1,639.97/x
  3. Step 3: Cross multiply
    4,271.19x = 6,407.12 × 1,639.97
  4. Step 4: Simplify right side
    4,271.19x = 10,507,484.59
  5. Step 5: Solve for x
    x = 10,507,484.59/4,271.19
  6. Step 6: Final answer
    x = 2,460.08

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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.