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Finding the Fourth Proportional to 3,535.47, 5,298.19 and 2,603.72

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Solution

The fourth proportional to 3,535.47, 5,298.19 and 2,603.72 is: 3,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.47 : 5,298.19 = 2,603.72 : x
  2. Step 2: Convert to fraction form
    3,535.47/5,298.19 = 2,603.72/x
  3. Step 3: Cross multiply
    3,535.47x = 5,298.19 × 2,603.72
  4. Step 4: Simplify right side
    3,535.47x = 13,795,003.27
  5. Step 5: Solve for x
    x = 13,795,003.27/3,535.47
  6. Step 6: Final answer
    x = 3,901.89

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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.