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Finding the Fourth Proportional to 4,975.65, 7,460.49 and 2,343.76

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Solution

The fourth proportional to 4,975.65, 7,460.49 and 2,343.76 is: 3,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.65 : 7,460.49 = 2,343.76 : x
  2. Step 2: Convert to fraction form
    4,975.65/7,460.49 = 2,343.76/x
  3. Step 3: Cross multiply
    4,975.65x = 7,460.49 × 2,343.76
  4. Step 4: Simplify right side
    4,975.65x = 17,485,598.04
  5. Step 5: Solve for x
    x = 17,485,598.04/4,975.65
  6. Step 6: Final answer
    x = 3,514.23

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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.