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Finding the Fourth Proportional to 4,750.75, 7,127.04 and 1,975.93

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Solution

The fourth proportional to 4,750.75, 7,127.04 and 1,975.93 is: 2,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.75 : 7,127.04 = 1,975.93 : x
  2. Step 2: Convert to fraction form
    4,750.75/7,127.04 = 1,975.93/x
  3. Step 3: Cross multiply
    4,750.75x = 7,127.04 × 1,975.93
  4. Step 4: Simplify right side
    4,750.75x = 14,082,486.63
  5. Step 5: Solve for x
    x = 14,082,486.63/4,750.75
  6. Step 6: Final answer
    x = 2,964.27

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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.