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Finding the Fourth Proportional to 6,406.86, 8,841.48 and 3,574.16

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Solution

The fourth proportional to 6,406.86, 8,841.48 and 3,574.16 is: 4,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.86 : 8,841.48 = 3,574.16 : x
  2. Step 2: Convert to fraction form
    6,406.86/8,841.48 = 3,574.16/x
  3. Step 3: Cross multiply
    6,406.86x = 8,841.48 × 3,574.16
  4. Step 4: Simplify right side
    6,406.86x = 31,600,846.29
  5. Step 5: Solve for x
    x = 31,600,846.29/6,406.86
  6. Step 6: Final answer
    x = 4,932.35

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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.