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Finding the Fourth Proportional to 3,684.64, 5,526.42 and 1,219

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Solution

The fourth proportional to 3,684.64, 5,526.42 and 1,219 is: 1,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.64 : 5,526.42 = 1,219 : x
  2. Step 2: Convert to fraction form
    3,684.64/5,526.42 = 1,219/x
  3. Step 3: Cross multiply
    3,684.64x = 5,526.42 × 1,219
  4. Step 4: Simplify right side
    3,684.64x = 6,736,705.98
  5. Step 5: Solve for x
    x = 6,736,705.98/3,684.64
  6. Step 6: Final answer
    x = 1,828.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.