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Finding the Fourth Proportional to 3,756.64, 5,184 and 2,184.80

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Solution

The fourth proportional to 3,756.64, 5,184 and 2,184.80 is: 3,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.64 : 5,184 = 2,184.80 : x
  2. Step 2: Convert to fraction form
    3,756.64/5,184 = 2,184.80/x
  3. Step 3: Cross multiply
    3,756.64x = 5,184 × 2,184.80
  4. Step 4: Simplify right side
    3,756.64x = 11,326,003.20
  5. Step 5: Solve for x
    x = 11,326,003.20/3,756.64
  6. Step 6: Final answer
    x = 3,014.93

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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.