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Finding the Fourth Proportional to 2,857.94, 4,276.52 and 2,359.72

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Solution

The fourth proportional to 2,857.94, 4,276.52 and 2,359.72 is: 3,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.94 : 4,276.52 = 2,359.72 : x
  2. Step 2: Convert to fraction form
    2,857.94/4,276.52 = 2,359.72/x
  3. Step 3: Cross multiply
    2,857.94x = 4,276.52 × 2,359.72
  4. Step 4: Simplify right side
    2,857.94x = 10,091,389.77
  5. Step 5: Solve for x
    x = 10,091,389.77/2,857.94
  6. Step 6: Final answer
    x = 3,531.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.