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Finding the Fourth Proportional to 5,566.26, 8,302.32 and 4,735.20

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Solution

The fourth proportional to 5,566.26, 8,302.32 and 4,735.20 is: 7,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.26 : 8,302.32 = 4,735.20 : x
  2. Step 2: Convert to fraction form
    5,566.26/8,302.32 = 4,735.20/x
  3. Step 3: Cross multiply
    5,566.26x = 8,302.32 × 4,735.20
  4. Step 4: Simplify right side
    5,566.26x = 39,313,145.66
  5. Step 5: Solve for x
    x = 39,313,145.66/5,566.26
  6. Step 6: Final answer
    x = 7,062.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.