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Finding the Fourth Proportional to 4,876.24, 7,313.10 and 1,412.68

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Solution

The fourth proportional to 4,876.24, 7,313.10 and 1,412.68 is: 2,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.24 : 7,313.10 = 1,412.68 : x
  2. Step 2: Convert to fraction form
    4,876.24/7,313.10 = 1,412.68/x
  3. Step 3: Cross multiply
    4,876.24x = 7,313.10 × 1,412.68
  4. Step 4: Simplify right side
    4,876.24x = 10,331,070.11
  5. Step 5: Solve for x
    x = 10,331,070.11/4,876.24
  6. Step 6: Final answer
    x = 2,118.65

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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.