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Finding the Fourth Proportional to 4,703.74, 7,055.78 and 1,782.26

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Solution

The fourth proportional to 4,703.74, 7,055.78 and 1,782.26 is: 2,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.74 : 7,055.78 = 1,782.26 : x
  2. Step 2: Convert to fraction form
    4,703.74/7,055.78 = 1,782.26/x
  3. Step 3: Cross multiply
    4,703.74x = 7,055.78 × 1,782.26
  4. Step 4: Simplify right side
    4,703.74x = 12,575,234.46
  5. Step 5: Solve for x
    x = 12,575,234.46/4,703.74
  6. Step 6: Final answer
    x = 2,673.45

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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.