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Finding the Fourth Proportional to 5,674.53, 7,826.42 and 4,838.00

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Solution

The fourth proportional to 5,674.53, 7,826.42 and 4,838.00 is: 6,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.53 : 7,826.42 = 4,838.00 : x
  2. Step 2: Convert to fraction form
    5,674.53/7,826.42 = 4,838.00/x
  3. Step 3: Cross multiply
    5,674.53x = 7,826.42 × 4,838.00
  4. Step 4: Simplify right side
    5,674.53x = 37,864,266.30
  5. Step 5: Solve for x
    x = 37,864,266.30/5,674.53
  6. Step 6: Final answer
    x = 6,672.67

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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.