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Finding the Fourth Proportional to 4,857.66, 7,284.96 and 1,569.96

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Solution

The fourth proportional to 4,857.66, 7,284.96 and 1,569.96 is: 2,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.66 : 7,284.96 = 1,569.96 : x
  2. Step 2: Convert to fraction form
    4,857.66/7,284.96 = 1,569.96/x
  3. Step 3: Cross multiply
    4,857.66x = 7,284.96 × 1,569.96
  4. Step 4: Simplify right side
    4,857.66x = 11,437,095.80
  5. Step 5: Solve for x
    x = 11,437,095.80/4,857.66
  6. Step 6: Final answer
    x = 2,354.45

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Why These Related Problems?

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