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Finding the Fourth Proportional to 4,553.57, 6,824.68 and 1,953.47

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Solution

The fourth proportional to 4,553.57, 6,824.68 and 1,953.47 is: 2,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.57 : 6,824.68 = 1,953.47 : x
  2. Step 2: Convert to fraction form
    4,553.57/6,824.68 = 1,953.47/x
  3. Step 3: Cross multiply
    4,553.57x = 6,824.68 × 1,953.47
  4. Step 4: Simplify right side
    4,553.57x = 13,331,807.64
  5. Step 5: Solve for x
    x = 13,331,807.64/4,553.57
  6. Step 6: Final answer
    x = 2,927.77

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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.