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Finding the Fourth Proportional to 3,678.77, 5,077.80 and 2,420.80

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Solution

The fourth proportional to 3,678.77, 5,077.80 and 2,420.80 is: 3,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.77 : 5,077.80 = 2,420.80 : x
  2. Step 2: Convert to fraction form
    3,678.77/5,077.80 = 2,420.80/x
  3. Step 3: Cross multiply
    3,678.77x = 5,077.80 × 2,420.80
  4. Step 4: Simplify right side
    3,678.77x = 12,292,325.55
  5. Step 5: Solve for x
    x = 12,292,325.55/3,678.77
  6. Step 6: Final answer
    x = 3,341.42

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1.5x scale

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.