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Finding the Fourth Proportional to 4,698.24, 6,483.84 and 2,835.84

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Solution

The fourth proportional to 4,698.24, 6,483.84 and 2,835.84 is: 3,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.24 : 6,483.84 = 2,835.84 : x
  2. Step 2: Convert to fraction form
    4,698.24/6,483.84 = 2,835.84/x
  3. Step 3: Cross multiply
    4,698.24x = 6,483.84 × 2,835.84
  4. Step 4: Simplify right side
    4,698.24x = 18,387,132.83
  5. Step 5: Solve for x
    x = 18,387,132.83/4,698.24
  6. Step 6: Final answer
    x = 3,913.62

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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.