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Finding the Fourth Proportional to 5,656.70, 7,813.46 and 4,346.48

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Solution

The fourth proportional to 5,656.70, 7,813.46 and 4,346.48 is: 6,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.70 : 7,813.46 = 4,346.48 : x
  2. Step 2: Convert to fraction form
    5,656.70/7,813.46 = 4,346.48/x
  3. Step 3: Cross multiply
    5,656.70x = 7,813.46 × 4,346.48
  4. Step 4: Simplify right side
    5,656.70x = 33,961,047.62
  5. Step 5: Solve for x
    x = 33,961,047.62/5,656.70
  6. Step 6: Final answer
    x = 6,003.69

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