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Finding the Fourth Proportional to 6,053, 9,085.98 and 2,981.48

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Solution

The fourth proportional to 6,053, 9,085.98 and 2,981.48 is: 4,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053 : 9,085.98 = 2,981.48 : x
  2. Step 2: Convert to fraction form
    6,053/9,085.98 = 2,981.48/x
  3. Step 3: Cross multiply
    6,053x = 9,085.98 × 2,981.48
  4. Step 4: Simplify right side
    6,053x = 27,089,667.65
  5. Step 5: Solve for x
    x = 27,089,667.65/6,053
  6. Step 6: Final answer
    x = 4,475.41

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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.