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Finding the Fourth Proportional to 4,674.76, 7,014.72 and 1,903.34

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Solution

The fourth proportional to 4,674.76, 7,014.72 and 1,903.34 is: 2,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.76 : 7,014.72 = 1,903.34 : x
  2. Step 2: Convert to fraction form
    4,674.76/7,014.72 = 1,903.34/x
  3. Step 3: Cross multiply
    4,674.76x = 7,014.72 × 1,903.34
  4. Step 4: Simplify right side
    4,674.76x = 13,351,397.16
  5. Step 5: Solve for x
    x = 13,351,397.16/4,674.76
  6. Step 6: Final answer
    x = 2,856.06

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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.