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Finding the Fourth Proportional to 5,677.76, 7,829.96 and 4,501.64

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Solution

The fourth proportional to 5,677.76, 7,829.96 and 4,501.64 is: 6,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.76 : 7,829.96 = 4,501.64 : x
  2. Step 2: Convert to fraction form
    5,677.76/7,829.96 = 4,501.64/x
  3. Step 3: Cross multiply
    5,677.76x = 7,829.96 × 4,501.64
  4. Step 4: Simplify right side
    5,677.76x = 35,247,661.13
  5. Step 5: Solve for x
    x = 35,247,661.13/5,677.76
  6. Step 6: Final answer
    x = 6,208.02

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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.