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Finding the Fourth Proportional to 4,182.96, 6,275.38 and 1,409.42

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Solution

The fourth proportional to 4,182.96, 6,275.38 and 1,409.42 is: 2,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.96 : 6,275.38 = 1,409.42 : x
  2. Step 2: Convert to fraction form
    4,182.96/6,275.38 = 1,409.42/x
  3. Step 3: Cross multiply
    4,182.96x = 6,275.38 × 1,409.42
  4. Step 4: Simplify right side
    4,182.96x = 8,844,646.08
  5. Step 5: Solve for x
    x = 8,844,646.08/4,182.96
  6. Step 6: Final answer
    x = 2,114.45

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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.