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Finding the Fourth Proportional to 3,341.94, 5,012.80 and 1,588.20

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Solution

The fourth proportional to 3,341.94, 5,012.80 and 1,588.20 is: 2,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.94 : 5,012.80 = 1,588.20 : x
  2. Step 2: Convert to fraction form
    3,341.94/5,012.80 = 1,588.20/x
  3. Step 3: Cross multiply
    3,341.94x = 5,012.80 × 1,588.20
  4. Step 4: Simplify right side
    3,341.94x = 7,961,334.39
  5. Step 5: Solve for x
    x = 7,961,334.39/3,341.94
  6. Step 6: Final answer
    x = 2,382.25

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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.