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Finding the Fourth Proportional to 4,329.53, 6,489.63 and 1,865.51

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Solution

The fourth proportional to 4,329.53, 6,489.63 and 1,865.51 is: 2,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.53 : 6,489.63 = 1,865.51 : x
  2. Step 2: Convert to fraction form
    4,329.53/6,489.63 = 1,865.51/x
  3. Step 3: Cross multiply
    4,329.53x = 6,489.63 × 1,865.51
  4. Step 4: Simplify right side
    4,329.53x = 12,106,437.21
  5. Step 5: Solve for x
    x = 12,106,437.21/4,329.53
  6. Step 6: Final answer
    x = 2,796.25

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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.