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Finding the Fourth Proportional to 4,275.98, 6,410.16 and 2,302.68

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Solution

The fourth proportional to 4,275.98, 6,410.16 and 2,302.68 is: 3,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.98 : 6,410.16 = 2,302.68 : x
  2. Step 2: Convert to fraction form
    4,275.98/6,410.16 = 2,302.68/x
  3. Step 3: Cross multiply
    4,275.98x = 6,410.16 × 2,302.68
  4. Step 4: Simplify right side
    4,275.98x = 14,760,547.23
  5. Step 5: Solve for x
    x = 14,760,547.23/4,275.98
  6. Step 6: Final answer
    x = 3,451.97

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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.