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Finding the Fourth Proportional to 5,748.22, 8,618.73 and 4,370.50

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Solution

The fourth proportional to 5,748.22, 8,618.73 and 4,370.50 is: 6,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.22 : 8,618.73 = 4,370.50 : x
  2. Step 2: Convert to fraction form
    5,748.22/8,618.73 = 4,370.50/x
  3. Step 3: Cross multiply
    5,748.22x = 8,618.73 × 4,370.50
  4. Step 4: Simplify right side
    5,748.22x = 37,668,159.47
  5. Step 5: Solve for x
    x = 37,668,159.47/5,748.22
  6. Step 6: Final answer
    x = 6,553.01

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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.