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Finding the Fourth Proportional to 4,703.36, 7,047.74 and 1,927.69

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Solution

The fourth proportional to 4,703.36, 7,047.74 and 1,927.69 is: 2,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.36 : 7,047.74 = 1,927.69 : x
  2. Step 2: Convert to fraction form
    4,703.36/7,047.74 = 1,927.69/x
  3. Step 3: Cross multiply
    4,703.36x = 7,047.74 × 1,927.69
  4. Step 4: Simplify right side
    4,703.36x = 13,585,822.68
  5. Step 5: Solve for x
    x = 13,585,822.68/4,703.36
  6. Step 6: Final answer
    x = 2,888.54

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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.