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Finding the Fourth Proportional to 5,697.26, 8,547.14 and 1,749.06

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Solution

The fourth proportional to 5,697.26, 8,547.14 and 1,749.06 is: 2,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.26 : 8,547.14 = 1,749.06 : x
  2. Step 2: Convert to fraction form
    5,697.26/8,547.14 = 1,749.06/x
  3. Step 3: Cross multiply
    5,697.26x = 8,547.14 × 1,749.06
  4. Step 4: Simplify right side
    5,697.26x = 14,949,460.69
  5. Step 5: Solve for x
    x = 14,949,460.69/5,697.26
  6. Step 6: Final answer
    x = 2,623.97

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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.