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Finding the Fourth Proportional to 4,347, 6,518.34 and 1,749.24

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Solution

The fourth proportional to 4,347, 6,518.34 and 1,749.24 is: 2,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 6,518.34 = 1,749.24 : x
  2. Step 2: Convert to fraction form
    4,347/6,518.34 = 1,749.24/x
  3. Step 3: Cross multiply
    4,347x = 6,518.34 × 1,749.24
  4. Step 4: Simplify right side
    4,347x = 11,402,141.06
  5. Step 5: Solve for x
    x = 11,402,141.06/4,347
  6. Step 6: Final answer
    x = 2,622.99

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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.