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Finding the Fourth Proportional to 5,696.58, 8,543.48 and 2,407.89

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Solution

The fourth proportional to 5,696.58, 8,543.48 and 2,407.89 is: 3,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.58 : 8,543.48 = 2,407.89 : x
  2. Step 2: Convert to fraction form
    5,696.58/8,543.48 = 2,407.89/x
  3. Step 3: Cross multiply
    5,696.58x = 8,543.48 × 2,407.89
  4. Step 4: Simplify right side
    5,696.58x = 20,571,760.06
  5. Step 5: Solve for x
    x = 20,571,760.06/5,696.58
  6. Step 6: Final answer
    x = 3,611.25

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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.