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Finding the Fourth Proportional to 5,166.49, 7,750.25 and 1,655.61

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Solution

The fourth proportional to 5,166.49, 7,750.25 and 1,655.61 is: 2,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.49 : 7,750.25 = 1,655.61 : x
  2. Step 2: Convert to fraction form
    5,166.49/7,750.25 = 1,655.61/x
  3. Step 3: Cross multiply
    5,166.49x = 7,750.25 × 1,655.61
  4. Step 4: Simplify right side
    5,166.49x = 12,831,402.50
  5. Step 5: Solve for x
    x = 12,831,402.50/5,166.49
  6. Step 6: Final answer
    x = 2,483.58

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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.