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Finding the Fourth Proportional to 5,570.64, 8,353.44 and 1,674

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Solution

The fourth proportional to 5,570.64, 8,353.44 and 1,674 is: 2,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.64 : 8,353.44 = 1,674 : x
  2. Step 2: Convert to fraction form
    5,570.64/8,353.44 = 1,674/x
  3. Step 3: Cross multiply
    5,570.64x = 8,353.44 × 1,674
  4. Step 4: Simplify right side
    5,570.64x = 13,983,658.56
  5. Step 5: Solve for x
    x = 13,983,658.56/5,570.64
  6. Step 6: Final answer
    x = 2,510.24

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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.