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Finding the Fourth Proportional to 4,668.56, 6,985.54 and 3,741.31

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Solution

The fourth proportional to 4,668.56, 6,985.54 and 3,741.31 is: 5,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.56 : 6,985.54 = 3,741.31 : x
  2. Step 2: Convert to fraction form
    4,668.56/6,985.54 = 3,741.31/x
  3. Step 3: Cross multiply
    4,668.56x = 6,985.54 × 3,741.31
  4. Step 4: Simplify right side
    4,668.56x = 26,135,065.43
  5. Step 5: Solve for x
    x = 26,135,065.43/4,668.56
  6. Step 6: Final answer
    x = 5,598.10

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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.