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Finding the Fourth Proportional to 5,564.54, 7,661.58 and 4,723.58

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Solution

The fourth proportional to 5,564.54, 7,661.58 and 4,723.58 is: 6,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.54 : 7,661.58 = 4,723.58 : x
  2. Step 2: Convert to fraction form
    5,564.54/7,661.58 = 4,723.58/x
  3. Step 3: Cross multiply
    5,564.54x = 7,661.58 × 4,723.58
  4. Step 4: Simplify right side
    5,564.54x = 36,190,086.06
  5. Step 5: Solve for x
    x = 36,190,086.06/5,564.54
  6. Step 6: Final answer
    x = 6,503.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.