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Finding the Fourth Proportional to 4,347.34, 6,530.73 and 4,183.31

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Solution

The fourth proportional to 4,347.34, 6,530.73 and 4,183.31 is: 6,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.34 : 6,530.73 = 4,183.31 : x
  2. Step 2: Convert to fraction form
    4,347.34/6,530.73 = 4,183.31/x
  3. Step 3: Cross multiply
    4,347.34x = 6,530.73 × 4,183.31
  4. Step 4: Simplify right side
    4,347.34x = 27,320,068.76
  5. Step 5: Solve for x
    x = 27,320,068.76/4,347.34
  6. Step 6: Final answer
    x = 6,284.32

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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.