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Finding the Fourth Proportional to 4,128.57, 5,696.73 and 2,359.80

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Solution

The fourth proportional to 4,128.57, 5,696.73 and 2,359.80 is: 3,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.57 : 5,696.73 = 2,359.80 : x
  2. Step 2: Convert to fraction form
    4,128.57/5,696.73 = 2,359.80/x
  3. Step 3: Cross multiply
    4,128.57x = 5,696.73 × 2,359.80
  4. Step 4: Simplify right side
    4,128.57x = 13,443,143.45
  5. Step 5: Solve for x
    x = 13,443,143.45/4,128.57
  6. Step 6: Final answer
    x = 3,256.13

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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.