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Finding the Fourth Proportional to 4,346.98, 5,996.52 and 2,646.00

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Solution

The fourth proportional to 4,346.98, 5,996.52 and 2,646.00 is: 3,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.98 : 5,996.52 = 2,646.00 : x
  2. Step 2: Convert to fraction form
    4,346.98/5,996.52 = 2,646.00/x
  3. Step 3: Cross multiply
    4,346.98x = 5,996.52 × 2,646.00
  4. Step 4: Simplify right side
    4,346.98x = 15,866,814.41
  5. Step 5: Solve for x
    x = 15,866,814.41/4,346.98
  6. Step 6: Final answer
    x = 3,650.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.