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Finding the Fourth Proportional to 3,865.02, 5,799.76 and 1,643.70

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Solution

The fourth proportional to 3,865.02, 5,799.76 and 1,643.70 is: 2,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.02 : 5,799.76 = 1,643.70 : x
  2. Step 2: Convert to fraction form
    3,865.02/5,799.76 = 1,643.70/x
  3. Step 3: Cross multiply
    3,865.02x = 5,799.76 × 1,643.70
  4. Step 4: Simplify right side
    3,865.02x = 9,533,065.51
  5. Step 5: Solve for x
    x = 9,533,065.51/3,865.02
  6. Step 6: Final answer
    x = 2,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.