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Finding the Fourth Proportional to 5,720.84, 8,615.56 and 5,035

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Solution

The fourth proportional to 5,720.84, 8,615.56 and 5,035 is: 7,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.84 : 8,615.56 = 5,035 : x
  2. Step 2: Convert to fraction form
    5,720.84/8,615.56 = 5,035/x
  3. Step 3: Cross multiply
    5,720.84x = 8,615.56 × 5,035
  4. Step 4: Simplify right side
    5,720.84x = 43,379,344.60
  5. Step 5: Solve for x
    x = 43,379,344.60/5,720.84
  6. Step 6: Final answer
    x = 7,582.69

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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.