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Finding the Fourth Proportional to 4,652.89, 6,979.24 and 1,365.91

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Solution

The fourth proportional to 4,652.89, 6,979.24 and 1,365.91 is: 2,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.89 : 6,979.24 = 1,365.91 : x
  2. Step 2: Convert to fraction form
    4,652.89/6,979.24 = 1,365.91/x
  3. Step 3: Cross multiply
    4,652.89x = 6,979.24 × 1,365.91
  4. Step 4: Simplify right side
    4,652.89x = 9,533,013.71
  5. Step 5: Solve for x
    x = 9,533,013.71/4,652.89
  6. Step 6: Final answer
    x = 2,048.84

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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.