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Finding the Fourth Proportional to 3,453.94, 4,767.05 and 2,038.47

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Solution

The fourth proportional to 3,453.94, 4,767.05 and 2,038.47 is: 2,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.94 : 4,767.05 = 2,038.47 : x
  2. Step 2: Convert to fraction form
    3,453.94/4,767.05 = 2,038.47/x
  3. Step 3: Cross multiply
    3,453.94x = 4,767.05 × 2,038.47
  4. Step 4: Simplify right side
    3,453.94x = 9,717,475.63
  5. Step 5: Solve for x
    x = 9,717,475.63/3,453.94
  6. Step 6: Final answer
    x = 2,813.45

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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.