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Finding the Fourth Proportional to 5,287.65, 7,929.93 and 1,777.26

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Solution

The fourth proportional to 5,287.65, 7,929.93 and 1,777.26 is: 2,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.65 : 7,929.93 = 1,777.26 : x
  2. Step 2: Convert to fraction form
    5,287.65/7,929.93 = 1,777.26/x
  3. Step 3: Cross multiply
    5,287.65x = 7,929.93 × 1,777.26
  4. Step 4: Simplify right side
    5,287.65x = 14,093,547.39
  5. Step 5: Solve for x
    x = 14,093,547.39/5,287.65
  6. Step 6: Final answer
    x = 2,665.37

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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.