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Finding the Fourth Proportional to 5,751.48, 7,929.18 and 4,756.44

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Solution

The fourth proportional to 5,751.48, 7,929.18 and 4,756.44 is: 6,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.48 : 7,929.18 = 4,756.44 : x
  2. Step 2: Convert to fraction form
    5,751.48/7,929.18 = 4,756.44/x
  3. Step 3: Cross multiply
    5,751.48x = 7,929.18 × 4,756.44
  4. Step 4: Simplify right side
    5,751.48x = 37,714,668.92
  5. Step 5: Solve for x
    x = 37,714,668.92/5,751.48
  6. Step 6: Final answer
    x = 6,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.