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Finding the Fourth Proportional to 4,296.86, 5,934.33 and 3,460.34

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Solution

The fourth proportional to 4,296.86, 5,934.33 and 3,460.34 is: 4,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.86 : 5,934.33 = 3,460.34 : x
  2. Step 2: Convert to fraction form
    4,296.86/5,934.33 = 3,460.34/x
  3. Step 3: Cross multiply
    4,296.86x = 5,934.33 × 3,460.34
  4. Step 4: Simplify right side
    4,296.86x = 20,534,799.47
  5. Step 5: Solve for x
    x = 20,534,799.47/4,296.86
  6. Step 6: Final answer
    x = 4,779.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.