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Finding the Fourth Proportional to 4,708.36, 6,500.46 and 3,032.65

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Solution

The fourth proportional to 4,708.36, 6,500.46 and 3,032.65 is: 4,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.36 : 6,500.46 = 3,032.65 : x
  2. Step 2: Convert to fraction form
    4,708.36/6,500.46 = 3,032.65/x
  3. Step 3: Cross multiply
    4,708.36x = 6,500.46 × 3,032.65
  4. Step 4: Simplify right side
    4,708.36x = 19,713,620.02
  5. Step 5: Solve for x
    x = 19,713,620.02/4,708.36
  6. Step 6: Final answer
    x = 4,186.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.