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Finding the Fourth Proportional to 5,668.29, 7,820.55 and 4,485.69

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Solution

The fourth proportional to 5,668.29, 7,820.55 and 4,485.69 is: 6,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.29 : 7,820.55 = 4,485.69 : x
  2. Step 2: Convert to fraction form
    5,668.29/7,820.55 = 4,485.69/x
  3. Step 3: Cross multiply
    5,668.29x = 7,820.55 × 4,485.69
  4. Step 4: Simplify right side
    5,668.29x = 35,080,562.93
  5. Step 5: Solve for x
    x = 35,080,562.93/5,668.29
  6. Step 6: Final answer
    x = 6,188.91

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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.