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Finding the Fourth Proportional to 4,696.55, 6,470.80 and 3,100.35

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Solution

The fourth proportional to 4,696.55, 6,470.80 and 3,100.35 is: 4,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.55 : 6,470.80 = 3,100.35 : x
  2. Step 2: Convert to fraction form
    4,696.55/6,470.80 = 3,100.35/x
  3. Step 3: Cross multiply
    4,696.55x = 6,470.80 × 3,100.35
  4. Step 4: Simplify right side
    4,696.55x = 20,061,729.28
  5. Step 5: Solve for x
    x = 20,061,729.28/4,696.55
  6. Step 6: Final answer
    x = 4,271.59

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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.