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Finding the Fourth Proportional to 5,668.60, 7,806.54 and 4,094.20

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Solution

The fourth proportional to 5,668.60, 7,806.54 and 4,094.20 is: 5,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.60 : 7,806.54 = 4,094.20 : x
  2. Step 2: Convert to fraction form
    5,668.60/7,806.54 = 4,094.20/x
  3. Step 3: Cross multiply
    5,668.60x = 7,806.54 × 4,094.20
  4. Step 4: Simplify right side
    5,668.60x = 31,961,536.07
  5. Step 5: Solve for x
    x = 31,961,536.07/5,668.60
  6. Step 6: Final answer
    x = 5,638.35

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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.