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Finding the Fourth Proportional to 5,163.74, 7,746.12 and 1,652.87

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Solution

The fourth proportional to 5,163.74, 7,746.12 and 1,652.87 is: 2,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.74 : 7,746.12 = 1,652.87 : x
  2. Step 2: Convert to fraction form
    5,163.74/7,746.12 = 1,652.87/x
  3. Step 3: Cross multiply
    5,163.74x = 7,746.12 × 1,652.87
  4. Step 4: Simplify right side
    5,163.74x = 12,803,290.63
  5. Step 5: Solve for x
    x = 12,803,290.63/5,163.74
  6. Step 6: Final answer
    x = 2,479.46

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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.