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Finding the Fourth Proportional to 3,504.30, 4,834.40 and 2,509.22

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Solution

The fourth proportional to 3,504.30, 4,834.40 and 2,509.22 is: 3,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.30 : 4,834.40 = 2,509.22 : x
  2. Step 2: Convert to fraction form
    3,504.30/4,834.40 = 2,509.22/x
  3. Step 3: Cross multiply
    3,504.30x = 4,834.40 × 2,509.22
  4. Step 4: Simplify right side
    3,504.30x = 12,130,573.17
  5. Step 5: Solve for x
    x = 12,130,573.17/3,504.30
  6. Step 6: Final answer
    x = 3,461.63

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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.