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Finding the Fourth Proportional to 6,406.84, 8,841.46 and 3,535.51

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Solution

The fourth proportional to 6,406.84, 8,841.46 and 3,535.51 is: 4,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.84 : 8,841.46 = 3,535.51 : x
  2. Step 2: Convert to fraction form
    6,406.84/8,841.46 = 3,535.51/x
  3. Step 3: Cross multiply
    6,406.84x = 8,841.46 × 3,535.51
  4. Step 4: Simplify right side
    6,406.84x = 31,259,070.24
  5. Step 5: Solve for x
    x = 31,259,070.24/6,406.84
  6. Step 6: Final answer
    x = 4,879.02

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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.