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Finding the Fourth Proportional to 5,283.88, 7,914.47 and 3,429.58

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Solution

The fourth proportional to 5,283.88, 7,914.47 and 3,429.58 is: 5,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.88 : 7,914.47 = 3,429.58 : x
  2. Step 2: Convert to fraction form
    5,283.88/7,914.47 = 3,429.58/x
  3. Step 3: Cross multiply
    5,283.88x = 7,914.47 × 3,429.58
  4. Step 4: Simplify right side
    5,283.88x = 27,143,308.02
  5. Step 5: Solve for x
    x = 27,143,308.02/5,283.88
  6. Step 6: Final answer
    x = 5,137.00

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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.