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Finding the Fourth Proportional to 5,746.68, 8,620.50 and 2,459.81

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Solution

The fourth proportional to 5,746.68, 8,620.50 and 2,459.81 is: 3,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.68 : 8,620.50 = 2,459.81 : x
  2. Step 2: Convert to fraction form
    5,746.68/8,620.50 = 2,459.81/x
  3. Step 3: Cross multiply
    5,746.68x = 8,620.50 × 2,459.81
  4. Step 4: Simplify right side
    5,746.68x = 21,204,749.00
  5. Step 5: Solve for x
    x = 21,204,749.00/5,746.68
  6. Step 6: Final answer
    x = 3,689.91

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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.