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Finding the Fourth Proportional to 4,680.08, 7,014.06 and 1,903.50

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Solution

The fourth proportional to 4,680.08, 7,014.06 and 1,903.50 is: 2,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.08 : 7,014.06 = 1,903.50 : x
  2. Step 2: Convert to fraction form
    4,680.08/7,014.06 = 1,903.50/x
  3. Step 3: Cross multiply
    4,680.08x = 7,014.06 × 1,903.50
  4. Step 4: Simplify right side
    4,680.08x = 13,351,263.21
  5. Step 5: Solve for x
    x = 13,351,263.21/4,680.08
  6. Step 6: Final answer
    x = 2,852.79

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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.