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Finding the Fourth Proportional to 6,034.98, 9,051.90 and 2,085.87

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Solution

The fourth proportional to 6,034.98, 9,051.90 and 2,085.87 is: 3,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.98 : 9,051.90 = 2,085.87 : x
  2. Step 2: Convert to fraction form
    6,034.98/9,051.90 = 2,085.87/x
  3. Step 3: Cross multiply
    6,034.98x = 9,051.90 × 2,085.87
  4. Step 4: Simplify right side
    6,034.98x = 18,881,041.39
  5. Step 5: Solve for x
    x = 18,881,041.39/6,034.98
  6. Step 6: Final answer
    x = 3,128.60

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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.