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Finding the Fourth Proportional to 3,646.58, 5,456.91 and 2,670.26

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Solution

The fourth proportional to 3,646.58, 5,456.91 and 2,670.26 is: 3,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.58 : 5,456.91 = 2,670.26 : x
  2. Step 2: Convert to fraction form
    3,646.58/5,456.91 = 2,670.26/x
  3. Step 3: Cross multiply
    3,646.58x = 5,456.91 × 2,670.26
  4. Step 4: Simplify right side
    3,646.58x = 14,571,368.50
  5. Step 5: Solve for x
    x = 14,571,368.50/3,646.58
  6. Step 6: Final answer
    x = 3,995.90

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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.