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Finding the Fourth Proportional to 4,301.86, 5,941.24 and 3,465.34

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Solution

The fourth proportional to 4,301.86, 5,941.24 and 3,465.34 is: 4,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.86 : 5,941.24 = 3,465.34 : x
  2. Step 2: Convert to fraction form
    4,301.86/5,941.24 = 3,465.34/x
  3. Step 3: Cross multiply
    4,301.86x = 5,941.24 × 3,465.34
  4. Step 4: Simplify right side
    4,301.86x = 20,588,416.62
  5. Step 5: Solve for x
    x = 20,588,416.62/4,301.86
  6. Step 6: Final answer
    x = 4,785.93

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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.