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Finding the Fourth Proportional to 3,510.42, 5,264.58 and 1,866.06

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Solution

The fourth proportional to 3,510.42, 5,264.58 and 1,866.06 is: 2,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.42 : 5,264.58 = 1,866.06 : x
  2. Step 2: Convert to fraction form
    3,510.42/5,264.58 = 1,866.06/x
  3. Step 3: Cross multiply
    3,510.42x = 5,264.58 × 1,866.06
  4. Step 4: Simplify right side
    3,510.42x = 9,824,022.15
  5. Step 5: Solve for x
    x = 9,824,022.15/3,510.42
  6. Step 6: Final answer
    x = 2,798.53

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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.