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Finding the Fourth Proportional to 4,835.76, 7,239.24 and 4,010.64

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Solution

The fourth proportional to 4,835.76, 7,239.24 and 4,010.64 is: 6,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.76 : 7,239.24 = 4,010.64 : x
  2. Step 2: Convert to fraction form
    4,835.76/7,239.24 = 4,010.64/x
  3. Step 3: Cross multiply
    4,835.76x = 7,239.24 × 4,010.64
  4. Step 4: Simplify right side
    4,835.76x = 29,033,985.51
  5. Step 5: Solve for x
    x = 29,033,985.51/4,835.76
  6. Step 6: Final answer
    x = 6,004.02

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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.