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Finding the Fourth Proportional to 4,666.19, 6,999.29 and 3,200.90

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Solution

The fourth proportional to 4,666.19, 6,999.29 and 3,200.90 is: 4,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.19 : 6,999.29 = 3,200.90 : x
  2. Step 2: Convert to fraction form
    4,666.19/6,999.29 = 3,200.90/x
  3. Step 3: Cross multiply
    4,666.19x = 6,999.29 × 3,200.90
  4. Step 4: Simplify right side
    4,666.19x = 22,404,000.37
  5. Step 5: Solve for x
    x = 22,404,000.37/4,666.19
  6. Step 6: Final answer
    x = 4,801.35

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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.