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Finding the Fourth Proportional to 3,510.42, 5,265.63 and 2,411.46

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Solution

The fourth proportional to 3,510.42, 5,265.63 and 2,411.46 is: 3,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.42 : 5,265.63 = 2,411.46 : x
  2. Step 2: Convert to fraction form
    3,510.42/5,265.63 = 2,411.46/x
  3. Step 3: Cross multiply
    3,510.42x = 5,265.63 × 2,411.46
  4. Step 4: Simplify right side
    3,510.42x = 12,697,856.12
  5. Step 5: Solve for x
    x = 12,697,856.12/3,510.42
  6. Step 6: Final answer
    x = 3,617.19

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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.