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Finding the Fourth Proportional to 3,509.22, 4,808.40 and 3,476.82

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Solution

The fourth proportional to 3,509.22, 4,808.40 and 3,476.82 is: 4,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.22 : 4,808.40 = 3,476.82 : x
  2. Step 2: Convert to fraction form
    3,509.22/4,808.40 = 3,476.82/x
  3. Step 3: Cross multiply
    3,509.22x = 4,808.40 × 3,476.82
  4. Step 4: Simplify right side
    3,509.22x = 16,717,941.29
  5. Step 5: Solve for x
    x = 16,717,941.29/3,509.22
  6. Step 6: Final answer
    x = 4,764.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.