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Finding the Fourth Proportional to 4,670.52, 7,005.24 and 1,208.04

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Solution

The fourth proportional to 4,670.52, 7,005.24 and 1,208.04 is: 1,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.52 : 7,005.24 = 1,208.04 : x
  2. Step 2: Convert to fraction form
    4,670.52/7,005.24 = 1,208.04/x
  3. Step 3: Cross multiply
    4,670.52x = 7,005.24 × 1,208.04
  4. Step 4: Simplify right side
    4,670.52x = 8,462,610.13
  5. Step 5: Solve for x
    x = 8,462,610.13/4,670.52
  6. Step 6: Final answer
    x = 1,811.92

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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.