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Finding the Fourth Proportional to 4,275.90, 6,406.29 and 2,971.26

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Solution

The fourth proportional to 4,275.90, 6,406.29 and 2,971.26 is: 4,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.90 : 6,406.29 = 2,971.26 : x
  2. Step 2: Convert to fraction form
    4,275.90/6,406.29 = 2,971.26/x
  3. Step 3: Cross multiply
    4,275.90x = 6,406.29 × 2,971.26
  4. Step 4: Simplify right side
    4,275.90x = 19,034,753.23
  5. Step 5: Solve for x
    x = 19,034,753.23/4,275.90
  6. Step 6: Final answer
    x = 4,451.64

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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.