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Finding the Fourth Proportional to 5,291.48, 7,934.00 and 3,646.22

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Solution

The fourth proportional to 5,291.48, 7,934.00 and 3,646.22 is: 5,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.48 : 7,934.00 = 3,646.22 : x
  2. Step 2: Convert to fraction form
    5,291.48/7,934.00 = 3,646.22/x
  3. Step 3: Cross multiply
    5,291.48x = 7,934.00 × 3,646.22
  4. Step 4: Simplify right side
    5,291.48x = 28,929,051.58
  5. Step 5: Solve for x
    x = 28,929,051.58/5,291.48
  6. Step 6: Final answer
    x = 5,467.11

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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.