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Finding the Fourth Proportional to 5,287.63, 7,296.63 and 2,929.58

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Solution

The fourth proportional to 5,287.63, 7,296.63 and 2,929.58 is: 4,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.63 : 7,296.63 = 2,929.58 : x
  2. Step 2: Convert to fraction form
    5,287.63/7,296.63 = 2,929.58/x
  3. Step 3: Cross multiply
    5,287.63x = 7,296.63 × 2,929.58
  4. Step 4: Simplify right side
    5,287.63x = 21,376,061.32
  5. Step 5: Solve for x
    x = 21,376,061.32/5,287.63
  6. Step 6: Final answer
    x = 4,042.66

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Why These Related Problems?

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