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Finding the Fourth Proportional to 4,905.69, 7,342.12 and 4,840.08

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Solution

The fourth proportional to 4,905.69, 7,342.12 and 4,840.08 is: 7,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.69 : 7,342.12 = 4,840.08 : x
  2. Step 2: Convert to fraction form
    4,905.69/7,342.12 = 4,840.08/x
  3. Step 3: Cross multiply
    4,905.69x = 7,342.12 × 4,840.08
  4. Step 4: Simplify right side
    4,905.69x = 35,536,448.17
  5. Step 5: Solve for x
    x = 35,536,448.17/4,905.69
  6. Step 6: Final answer
    x = 7,243.92

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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.