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Finding the Fourth Proportional to 3,497.00, 5,245.51 and 1,417.04

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Solution

The fourth proportional to 3,497.00, 5,245.51 and 1,417.04 is: 2,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.00 : 5,245.51 = 1,417.04 : x
  2. Step 2: Convert to fraction form
    3,497.00/5,245.51 = 1,417.04/x
  3. Step 3: Cross multiply
    3,497.00x = 5,245.51 × 1,417.04
  4. Step 4: Simplify right side
    3,497.00x = 7,433,092.70
  5. Step 5: Solve for x
    x = 7,433,092.70/3,497.00
  6. Step 6: Final answer
    x = 2,125.57

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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.