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Finding the Fourth Proportional to 4,895.82, 7,341.30 and 1,775.70

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Solution

The fourth proportional to 4,895.82, 7,341.30 and 1,775.70 is: 2,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.82 : 7,341.30 = 1,775.70 : x
  2. Step 2: Convert to fraction form
    4,895.82/7,341.30 = 1,775.70/x
  3. Step 3: Cross multiply
    4,895.82x = 7,341.30 × 1,775.70
  4. Step 4: Simplify right side
    4,895.82x = 13,035,946.41
  5. Step 5: Solve for x
    x = 13,035,946.41/4,895.82
  6. Step 6: Final answer
    x = 2,662.67

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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.