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Finding the Fourth Proportional to 4,175.29, 6,264.76 and 1,710.66

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Solution

The fourth proportional to 4,175.29, 6,264.76 and 1,710.66 is: 2,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.29 : 6,264.76 = 1,710.66 : x
  2. Step 2: Convert to fraction form
    4,175.29/6,264.76 = 1,710.66/x
  3. Step 3: Cross multiply
    4,175.29x = 6,264.76 × 1,710.66
  4. Step 4: Simplify right side
    4,175.29x = 10,716,870.06
  5. Step 5: Solve for x
    x = 10,716,870.06/4,175.29
  6. Step 6: Final answer
    x = 2,566.74

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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.