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Finding the Fourth Proportional to 4,666.30, 6,999.65 and 1,546.58

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Solution

The fourth proportional to 4,666.30, 6,999.65 and 1,546.58 is: 2,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.30 : 6,999.65 = 1,546.58 : x
  2. Step 2: Convert to fraction form
    4,666.30/6,999.65 = 1,546.58/x
  3. Step 3: Cross multiply
    4,666.30x = 6,999.65 × 1,546.58
  4. Step 4: Simplify right side
    4,666.30x = 10,825,518.70
  5. Step 5: Solve for x
    x = 10,825,518.70/4,666.30
  6. Step 6: Final answer
    x = 2,319.94

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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.