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Finding the Fourth Proportional to 3,543.93, 5,316.54 and 1,078.47

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Solution

The fourth proportional to 3,543.93, 5,316.54 and 1,078.47 is: 1,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.93 : 5,316.54 = 1,078.47 : x
  2. Step 2: Convert to fraction form
    3,543.93/5,316.54 = 1,078.47/x
  3. Step 3: Cross multiply
    3,543.93x = 5,316.54 × 1,078.47
  4. Step 4: Simplify right side
    3,543.93x = 5,733,728.89
  5. Step 5: Solve for x
    x = 5,733,728.89/3,543.93
  6. Step 6: Final answer
    x = 1,617.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.