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Finding the Fourth Proportional to 5,870.18, 8,104.56 and 4,106

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Solution

The fourth proportional to 5,870.18, 8,104.56 and 4,106 is: 5,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.18 : 8,104.56 = 4,106 : x
  2. Step 2: Convert to fraction form
    5,870.18/8,104.56 = 4,106/x
  3. Step 3: Cross multiply
    5,870.18x = 8,104.56 × 4,106
  4. Step 4: Simplify right side
    5,870.18x = 33,277,323.36
  5. Step 5: Solve for x
    x = 33,277,323.36/5,870.18
  6. Step 6: Final answer
    x = 5,668.88

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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.