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Finding the Fourth Proportional to 4,669.65, 7,004.48 and 2,034.99

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Solution

The fourth proportional to 4,669.65, 7,004.48 and 2,034.99 is: 3,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.65 : 7,004.48 = 2,034.99 : x
  2. Step 2: Convert to fraction form
    4,669.65/7,004.48 = 2,034.99/x
  3. Step 3: Cross multiply
    4,669.65x = 7,004.48 × 2,034.99
  4. Step 4: Simplify right side
    4,669.65x = 14,254,036.58
  5. Step 5: Solve for x
    x = 14,254,036.58/4,669.65
  6. Step 6: Final answer
    x = 3,052.49

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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.