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Finding the Fourth Proportional to 4,804.29, 7,203.87 and 2,205

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Solution

The fourth proportional to 4,804.29, 7,203.87 and 2,205 is: 3,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.29 : 7,203.87 = 2,205 : x
  2. Step 2: Convert to fraction form
    4,804.29/7,203.87 = 2,205/x
  3. Step 3: Cross multiply
    4,804.29x = 7,203.87 × 2,205
  4. Step 4: Simplify right side
    4,804.29x = 15,884,533.35
  5. Step 5: Solve for x
    x = 15,884,533.35/4,804.29
  6. Step 6: Final answer
    x = 3,306.32

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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.