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Finding the Fourth Proportional to 4,751.42, 6,559.31 and 2,984.00

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Solution

The fourth proportional to 4,751.42, 6,559.31 and 2,984.00 is: 4,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.42 : 6,559.31 = 2,984.00 : x
  2. Step 2: Convert to fraction form
    4,751.42/6,559.31 = 2,984.00/x
  3. Step 3: Cross multiply
    4,751.42x = 6,559.31 × 2,984.00
  4. Step 4: Simplify right side
    4,751.42x = 19,572,982.52
  5. Step 5: Solve for x
    x = 19,572,982.52/4,751.42
  6. Step 6: Final answer
    x = 4,119.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.