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Finding the Fourth Proportional to 3,341.21, 5,009.13 and 1,585.32

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Solution

The fourth proportional to 3,341.21, 5,009.13 and 1,585.32 is: 2,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.21 : 5,009.13 = 1,585.32 : x
  2. Step 2: Convert to fraction form
    3,341.21/5,009.13 = 1,585.32/x
  3. Step 3: Cross multiply
    3,341.21x = 5,009.13 × 1,585.32
  4. Step 4: Simplify right side
    3,341.21x = 7,941,073.97
  5. Step 5: Solve for x
    x = 7,941,073.97/3,341.21
  6. Step 6: Final answer
    x = 2,376.71

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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.