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Finding the Fourth Proportional to 5,166.63, 7,750.52 and 1,655.81

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Solution

The fourth proportional to 5,166.63, 7,750.52 and 1,655.81 is: 2,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.63 : 7,750.52 = 1,655.81 : x
  2. Step 2: Convert to fraction form
    5,166.63/7,750.52 = 1,655.81/x
  3. Step 3: Cross multiply
    5,166.63x = 7,750.52 × 1,655.81
  4. Step 4: Simplify right side
    5,166.63x = 12,833,341.49
  5. Step 5: Solve for x
    x = 12,833,341.49/5,166.63
  6. Step 6: Final answer
    x = 2,483.89

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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.