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Finding the Fourth Proportional to 4,805.85, 6,632.54 and 2,917.00

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Solution

The fourth proportional to 4,805.85, 6,632.54 and 2,917.00 is: 4,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.85 : 6,632.54 = 2,917.00 : x
  2. Step 2: Convert to fraction form
    4,805.85/6,632.54 = 2,917.00/x
  3. Step 3: Cross multiply
    4,805.85x = 6,632.54 × 2,917.00
  4. Step 4: Simplify right side
    4,805.85x = 19,347,088.01
  5. Step 5: Solve for x
    x = 19,347,088.01/4,805.85
  6. Step 6: Final answer
    x = 4,025.74

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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.