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Finding the Fourth Proportional to 4,796, 6,620.64 and 3,556.16

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Solution

The fourth proportional to 4,796, 6,620.64 and 3,556.16 is: 4,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796 : 6,620.64 = 3,556.16 : x
  2. Step 2: Convert to fraction form
    4,796/6,620.64 = 3,556.16/x
  3. Step 3: Cross multiply
    4,796x = 6,620.64 × 3,556.16
  4. Step 4: Simplify right side
    4,796x = 23,544,055.14
  5. Step 5: Solve for x
    x = 23,544,055.14/4,796
  6. Step 6: Final answer
    x = 4,909.10

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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.