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Finding the Fourth Proportional to 4,604.42, 6,905.66 and 1,316.63

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Solution

The fourth proportional to 4,604.42, 6,905.66 and 1,316.63 is: 1,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.42 : 6,905.66 = 1,316.63 : x
  2. Step 2: Convert to fraction form
    4,604.42/6,905.66 = 1,316.63/x
  3. Step 3: Cross multiply
    4,604.42x = 6,905.66 × 1,316.63
  4. Step 4: Simplify right side
    4,604.42x = 9,092,209.81
  5. Step 5: Solve for x
    x = 9,092,209.81/4,604.42
  6. Step 6: Final answer
    x = 1,974.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.