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Finding the Fourth Proportional to 3,510.66, 5,266.44 and 1,045.56

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Solution

The fourth proportional to 3,510.66, 5,266.44 and 1,045.56 is: 1,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.66 : 5,266.44 = 1,045.56 : x
  2. Step 2: Convert to fraction form
    3,510.66/5,266.44 = 1,045.56/x
  3. Step 3: Cross multiply
    3,510.66x = 5,266.44 × 1,045.56
  4. Step 4: Simplify right side
    3,510.66x = 5,506,379.01
  5. Step 5: Solve for x
    x = 5,506,379.01/3,510.66
  6. Step 6: Final answer
    x = 1,568.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.