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Finding the Fourth Proportional to 4,548.68, 6,823.43 and 1,951.01

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Solution

The fourth proportional to 4,548.68, 6,823.43 and 1,951.01 is: 2,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.68 : 6,823.43 = 1,951.01 : x
  2. Step 2: Convert to fraction form
    4,548.68/6,823.43 = 1,951.01/x
  3. Step 3: Cross multiply
    4,548.68x = 6,823.43 × 1,951.01
  4. Step 4: Simplify right side
    4,548.68x = 13,312,580.16
  5. Step 5: Solve for x
    x = 13,312,580.16/4,548.68
  6. Step 6: Final answer
    x = 2,926.69

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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.