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Finding the Fourth Proportional to 4,802.96, 7,200.48 and 1,514

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Solution

The fourth proportional to 4,802.96, 7,200.48 and 1,514 is: 2,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.96 : 7,200.48 = 1,514 : x
  2. Step 2: Convert to fraction form
    4,802.96/7,200.48 = 1,514/x
  3. Step 3: Cross multiply
    4,802.96x = 7,200.48 × 1,514
  4. Step 4: Simplify right side
    4,802.96x = 10,901,526.72
  5. Step 5: Solve for x
    x = 10,901,526.72/4,802.96
  6. Step 6: Final answer
    x = 2,269.75

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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.