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Finding the Fourth Proportional to 4,556.76, 6,835.13 and 2,607.60

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Solution

The fourth proportional to 4,556.76, 6,835.13 and 2,607.60 is: 3,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.76 : 6,835.13 = 2,607.60 : x
  2. Step 2: Convert to fraction form
    4,556.76/6,835.13 = 2,607.60/x
  3. Step 3: Cross multiply
    4,556.76x = 6,835.13 × 2,607.60
  4. Step 4: Simplify right side
    4,556.76x = 17,823,284.99
  5. Step 5: Solve for x
    x = 17,823,284.99/4,556.76
  6. Step 6: Final answer
    x = 3,911.39

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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.