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Finding the Fourth Proportional to 4,436.14, 6,630.14 and 4,085.86

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Solution

The fourth proportional to 4,436.14, 6,630.14 and 4,085.86 is: 6,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.14 : 6,630.14 = 4,085.86 : x
  2. Step 2: Convert to fraction form
    4,436.14/6,630.14 = 4,085.86/x
  3. Step 3: Cross multiply
    4,436.14x = 6,630.14 × 4,085.86
  4. Step 4: Simplify right side
    4,436.14x = 27,089,823.82
  5. Step 5: Solve for x
    x = 27,089,823.82/4,436.14
  6. Step 6: Final answer
    x = 6,106.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.