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Finding the Fourth Proportional to 4,657.85, 6,985.29 and 1,537.27

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Solution

The fourth proportional to 4,657.85, 6,985.29 and 1,537.27 is: 2,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.85 : 6,985.29 = 1,537.27 : x
  2. Step 2: Convert to fraction form
    4,657.85/6,985.29 = 1,537.27/x
  3. Step 3: Cross multiply
    4,657.85x = 6,985.29 × 1,537.27
  4. Step 4: Simplify right side
    4,657.85x = 10,738,262.26
  5. Step 5: Solve for x
    x = 10,738,262.26/4,657.85
  6. Step 6: Final answer
    x = 2,305.41

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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.