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Finding the Fourth Proportional to 6,430.86, 8,874.72 and 3,598.29

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Solution

The fourth proportional to 6,430.86, 8,874.72 and 3,598.29 is: 4,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.86 : 8,874.72 = 3,598.29 : x
  2. Step 2: Convert to fraction form
    6,430.86/8,874.72 = 3,598.29/x
  3. Step 3: Cross multiply
    6,430.86x = 8,874.72 × 3,598.29
  4. Step 4: Simplify right side
    6,430.86x = 31,933,816.23
  5. Step 5: Solve for x
    x = 31,933,816.23/6,430.86
  6. Step 6: Final answer
    x = 4,965.71

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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.