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Finding the Fourth Proportional to 3,483.54, 4,807.35 and 1,911.69

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Solution

The fourth proportional to 3,483.54, 4,807.35 and 1,911.69 is: 2,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.54 : 4,807.35 = 1,911.69 : x
  2. Step 2: Convert to fraction form
    3,483.54/4,807.35 = 1,911.69/x
  3. Step 3: Cross multiply
    3,483.54x = 4,807.35 × 1,911.69
  4. Step 4: Simplify right side
    3,483.54x = 9,190,162.92
  5. Step 5: Solve for x
    x = 9,190,162.92/3,483.54
  6. Step 6: Final answer
    x = 2,638.17

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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.