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Finding the Fourth Proportional to 4,444, 6,666.54 and 1,845.52

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Solution

The fourth proportional to 4,444, 6,666.54 and 1,845.52 is: 2,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444 : 6,666.54 = 1,845.52 : x
  2. Step 2: Convert to fraction form
    4,444/6,666.54 = 1,845.52/x
  3. Step 3: Cross multiply
    4,444x = 6,666.54 × 1,845.52
  4. Step 4: Simplify right side
    4,444x = 12,303,232.90
  5. Step 5: Solve for x
    x = 12,303,232.90/4,444
  6. Step 6: Final answer
    x = 2,768.50

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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.