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Finding the Fourth Proportional to 3,543.51, 5,341.81 and 3,305.64

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Solution

The fourth proportional to 3,543.51, 5,341.81 and 3,305.64 is: 4,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.51 : 5,341.81 = 3,305.64 : x
  2. Step 2: Convert to fraction form
    3,543.51/5,341.81 = 3,305.64/x
  3. Step 3: Cross multiply
    3,543.51x = 5,341.81 × 3,305.64
  4. Step 4: Simplify right side
    3,543.51x = 17,658,100.81
  5. Step 5: Solve for x
    x = 17,658,100.81/3,543.51
  6. Step 6: Final answer
    x = 4,983.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.