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Finding the Fourth Proportional to 3,457.98, 5,186.97 and 1,510.11

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Solution

The fourth proportional to 3,457.98, 5,186.97 and 1,510.11 is: 2,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.98 : 5,186.97 = 1,510.11 : x
  2. Step 2: Convert to fraction form
    3,457.98/5,186.97 = 1,510.11/x
  3. Step 3: Cross multiply
    3,457.98x = 5,186.97 × 1,510.11
  4. Step 4: Simplify right side
    3,457.98x = 7,832,895.27
  5. Step 5: Solve for x
    x = 7,832,895.27/3,457.98
  6. Step 6: Final answer
    x = 2,265.17

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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.