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Finding the Fourth Proportional to 3,505.84, 4,838.14 and 2,014.22

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Solution

The fourth proportional to 3,505.84, 4,838.14 and 2,014.22 is: 2,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.84 : 4,838.14 = 2,014.22 : x
  2. Step 2: Convert to fraction form
    3,505.84/4,838.14 = 2,014.22/x
  3. Step 3: Cross multiply
    3,505.84x = 4,838.14 × 2,014.22
  4. Step 4: Simplify right side
    3,505.84x = 9,745,078.35
  5. Step 5: Solve for x
    x = 9,745,078.35/3,505.84
  6. Step 6: Final answer
    x = 2,779.67

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1.5x scale

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.