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Finding the Fourth Proportional to 4,842.63, 7,264.97 and 1,558.03

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Solution

The fourth proportional to 4,842.63, 7,264.97 and 1,558.03 is: 2,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.63 : 7,264.97 = 1,558.03 : x
  2. Step 2: Convert to fraction form
    4,842.63/7,264.97 = 1,558.03/x
  3. Step 3: Cross multiply
    4,842.63x = 7,264.97 × 1,558.03
  4. Step 4: Simplify right side
    4,842.63x = 11,319,041.21
  5. Step 5: Solve for x
    x = 11,319,041.21/4,842.63
  6. Step 6: Final answer
    x = 2,337.37

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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.