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Finding the Fourth Proportional to 4,857.90, 7,284.28 and 1,570.58

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Solution

The fourth proportional to 4,857.90, 7,284.28 and 1,570.58 is: 2,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.90 : 7,284.28 = 1,570.58 : x
  2. Step 2: Convert to fraction form
    4,857.90/7,284.28 = 1,570.58/x
  3. Step 3: Cross multiply
    4,857.90x = 7,284.28 × 1,570.58
  4. Step 4: Simplify right side
    4,857.90x = 11,440,544.48
  5. Step 5: Solve for x
    x = 11,440,544.48/4,857.90
  6. Step 6: Final answer
    x = 2,355.04

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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.