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Finding the Fourth Proportional to 3,698.46, 5,102.22 and 2,503.08

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Solution

The fourth proportional to 3,698.46, 5,102.22 and 2,503.08 is: 3,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.46 : 5,102.22 = 2,503.08 : x
  2. Step 2: Convert to fraction form
    3,698.46/5,102.22 = 2,503.08/x
  3. Step 3: Cross multiply
    3,698.46x = 5,102.22 × 2,503.08
  4. Step 4: Simplify right side
    3,698.46x = 12,771,264.84
  5. Step 5: Solve for x
    x = 12,771,264.84/3,698.46
  6. Step 6: Final answer
    x = 3,453.13

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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.