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Finding the Fourth Proportional to 4,653.06, 6,978.51 and 1,365.27

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Solution

The fourth proportional to 4,653.06, 6,978.51 and 1,365.27 is: 2,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.06 : 6,978.51 = 1,365.27 : x
  2. Step 2: Convert to fraction form
    4,653.06/6,978.51 = 1,365.27/x
  3. Step 3: Cross multiply
    4,653.06x = 6,978.51 × 1,365.27
  4. Step 4: Simplify right side
    4,653.06x = 9,527,550.35
  5. Step 5: Solve for x
    x = 9,527,550.35/4,653.06
  6. Step 6: Final answer
    x = 2,047.59

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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.