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Finding the Fourth Proportional to 3,484.80, 4,809.16 and 1,913

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Solution

The fourth proportional to 3,484.80, 4,809.16 and 1,913 is: 2,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.80 : 4,809.16 = 1,913 : x
  2. Step 2: Convert to fraction form
    3,484.80/4,809.16 = 1,913/x
  3. Step 3: Cross multiply
    3,484.80x = 4,809.16 × 1,913
  4. Step 4: Simplify right side
    3,484.80x = 9,199,923.08
  5. Step 5: Solve for x
    x = 9,199,923.08/3,484.80
  6. Step 6: Final answer
    x = 2,640.01

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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.