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Finding the Fourth Proportional to 5,285.51, 7,929.17 and 1,775.86

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Solution

The fourth proportional to 5,285.51, 7,929.17 and 1,775.86 is: 2,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.51 : 7,929.17 = 1,775.86 : x
  2. Step 2: Convert to fraction form
    5,285.51/7,929.17 = 1,775.86/x
  3. Step 3: Cross multiply
    5,285.51x = 7,929.17 × 1,775.86
  4. Step 4: Simplify right side
    5,285.51x = 14,081,080.45
  5. Step 5: Solve for x
    x = 14,081,080.45/5,285.51
  6. Step 6: Final answer
    x = 2,664.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.