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Finding the Fourth Proportional to 3,506.88, 5,254.46 and 2,465.03

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Solution

The fourth proportional to 3,506.88, 5,254.46 and 2,465.03 is: 3,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.88 : 5,254.46 = 2,465.03 : x
  2. Step 2: Convert to fraction form
    3,506.88/5,254.46 = 2,465.03/x
  3. Step 3: Cross multiply
    3,506.88x = 5,254.46 × 2,465.03
  4. Step 4: Simplify right side
    3,506.88x = 12,952,362.94
  5. Step 5: Solve for x
    x = 12,952,362.94/3,506.88
  6. Step 6: Final answer
    x = 3,693.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.