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Finding the Fourth Proportional to 4,548.94, 6,823.40 and 2,509.90

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Solution

The fourth proportional to 4,548.94, 6,823.40 and 2,509.90 is: 3,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.94 : 6,823.40 = 2,509.90 : x
  2. Step 2: Convert to fraction form
    4,548.94/6,823.40 = 2,509.90/x
  3. Step 3: Cross multiply
    4,548.94x = 6,823.40 × 2,509.90
  4. Step 4: Simplify right side
    4,548.94x = 17,126,051.66
  5. Step 5: Solve for x
    x = 17,126,051.66/4,548.94
  6. Step 6: Final answer
    x = 3,764.84

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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.