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Finding the Fourth Proportional to 3,603.96, 4,973.36 and 2,032

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Solution

The fourth proportional to 3,603.96, 4,973.36 and 2,032 is: 2,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.96 : 4,973.36 = 2,032 : x
  2. Step 2: Convert to fraction form
    3,603.96/4,973.36 = 2,032/x
  3. Step 3: Cross multiply
    3,603.96x = 4,973.36 × 2,032
  4. Step 4: Simplify right side
    3,603.96x = 10,105,867.52
  5. Step 5: Solve for x
    x = 10,105,867.52/3,603.96
  6. Step 6: Final answer
    x = 2,804.10

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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.