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Finding the Fourth Proportional to 3,364.56, 4,642.68 and 2,038.08

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Solution

The fourth proportional to 3,364.56, 4,642.68 and 2,038.08 is: 2,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.56 : 4,642.68 = 2,038.08 : x
  2. Step 2: Convert to fraction form
    3,364.56/4,642.68 = 2,038.08/x
  3. Step 3: Cross multiply
    3,364.56x = 4,642.68 × 2,038.08
  4. Step 4: Simplify right side
    3,364.56x = 9,462,153.25
  5. Step 5: Solve for x
    x = 9,462,153.25/3,364.56
  6. Step 6: Final answer
    x = 2,812.30

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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.