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Finding the Fourth Proportional to 4,698.04, 6,483.36 and 2,811.12

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Solution

The fourth proportional to 4,698.04, 6,483.36 and 2,811.12 is: 3,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.04 : 6,483.36 = 2,811.12 : x
  2. Step 2: Convert to fraction form
    4,698.04/6,483.36 = 2,811.12/x
  3. Step 3: Cross multiply
    4,698.04x = 6,483.36 × 2,811.12
  4. Step 4: Simplify right side
    4,698.04x = 18,225,502.96
  5. Step 5: Solve for x
    x = 18,225,502.96/4,698.04
  6. Step 6: Final answer
    x = 3,879.38

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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.