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Finding the Fourth Proportional to 5,784.06, 8,675.10 and 1,888.44

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Solution

The fourth proportional to 5,784.06, 8,675.10 and 1,888.44 is: 2,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.06 : 8,675.10 = 1,888.44 : x
  2. Step 2: Convert to fraction form
    5,784.06/8,675.10 = 1,888.44/x
  3. Step 3: Cross multiply
    5,784.06x = 8,675.10 × 1,888.44
  4. Step 4: Simplify right side
    5,784.06x = 16,382,405.84
  5. Step 5: Solve for x
    x = 16,382,405.84/5,784.06
  6. Step 6: Final answer
    x = 2,832.34

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1.5x scale

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.