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Finding the Fourth Proportional to 4,698, 6,483.24 and 2,835

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Solution

The fourth proportional to 4,698, 6,483.24 and 2,835 is: 3,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698 : 6,483.24 = 2,835 : x
  2. Step 2: Convert to fraction form
    4,698/6,483.24 = 2,835/x
  3. Step 3: Cross multiply
    4,698x = 6,483.24 × 2,835
  4. Step 4: Simplify right side
    4,698x = 18,379,985.40
  5. Step 5: Solve for x
    x = 18,379,985.40/4,698
  6. Step 6: Final answer
    x = 3,912.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.