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Finding the Fourth Proportional to 4,666.02, 7,000.92 and 4,592.31

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Solution

The fourth proportional to 4,666.02, 7,000.92 and 4,592.31 is: 6,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.02 : 7,000.92 = 4,592.31 : x
  2. Step 2: Convert to fraction form
    4,666.02/7,000.92 = 4,592.31/x
  3. Step 3: Cross multiply
    4,666.02x = 7,000.92 × 4,592.31
  4. Step 4: Simplify right side
    4,666.02x = 32,150,394.93
  5. Step 5: Solve for x
    x = 32,150,394.93/4,666.02
  6. Step 6: Final answer
    x = 6,890.33

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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.