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Finding the Fourth Proportional to 4,857.16, 7,284.21 and 1,569.46

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Solution

The fourth proportional to 4,857.16, 7,284.21 and 1,569.46 is: 2,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.16 : 7,284.21 = 1,569.46 : x
  2. Step 2: Convert to fraction form
    4,857.16/7,284.21 = 1,569.46/x
  3. Step 3: Cross multiply
    4,857.16x = 7,284.21 × 1,569.46
  4. Step 4: Simplify right side
    4,857.16x = 11,432,276.23
  5. Step 5: Solve for x
    x = 11,432,276.23/4,857.16
  6. Step 6: Final answer
    x = 2,353.70

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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.