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Finding the Fourth Proportional to 3,365.16, 4,643.76 and 2,038.78

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Solution

The fourth proportional to 3,365.16, 4,643.76 and 2,038.78 is: 2,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.16 : 4,643.76 = 2,038.78 : x
  2. Step 2: Convert to fraction form
    3,365.16/4,643.76 = 2,038.78/x
  3. Step 3: Cross multiply
    3,365.16x = 4,643.76 × 2,038.78
  4. Step 4: Simplify right side
    3,365.16x = 9,467,605.01
  5. Step 5: Solve for x
    x = 9,467,605.01/3,365.16
  6. Step 6: Final answer
    x = 2,813.42

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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.