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Finding the Fourth Proportional to 4,654.34, 6,982.53 and 1,534.22

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Solution

The fourth proportional to 4,654.34, 6,982.53 and 1,534.22 is: 2,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.34 : 6,982.53 = 1,534.22 : x
  2. Step 2: Convert to fraction form
    4,654.34/6,982.53 = 1,534.22/x
  3. Step 3: Cross multiply
    4,654.34x = 6,982.53 × 1,534.22
  4. Step 4: Simplify right side
    4,654.34x = 10,712,737.18
  5. Step 5: Solve for x
    x = 10,712,737.18/4,654.34
  6. Step 6: Final answer
    x = 2,301.67

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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.