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Finding the Fourth Proportional to 3,184.24, 4,773 and 1,886.32

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Solution

The fourth proportional to 3,184.24, 4,773 and 1,886.32 is: 2,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.24 : 4,773 = 1,886.32 : x
  2. Step 2: Convert to fraction form
    3,184.24/4,773 = 1,886.32/x
  3. Step 3: Cross multiply
    3,184.24x = 4,773 × 1,886.32
  4. Step 4: Simplify right side
    3,184.24x = 9,003,405.36
  5. Step 5: Solve for x
    x = 9,003,405.36/3,184.24
  6. Step 6: Final answer
    x = 2,827.49

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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.