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Finding the Fourth Proportional to 3,457.17, 5,186.04 and 1,510.74

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Solution

The fourth proportional to 3,457.17, 5,186.04 and 1,510.74 is: 2,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.17 : 5,186.04 = 1,510.74 : x
  2. Step 2: Convert to fraction form
    3,457.17/5,186.04 = 1,510.74/x
  3. Step 3: Cross multiply
    3,457.17x = 5,186.04 × 1,510.74
  4. Step 4: Simplify right side
    3,457.17x = 7,834,758.07
  5. Step 5: Solve for x
    x = 7,834,758.07/3,457.17
  6. Step 6: Final answer
    x = 2,266.23

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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.