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Finding the Fourth Proportional to 4,666.37, 6,999.55 and 1,705.41

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Solution

The fourth proportional to 4,666.37, 6,999.55 and 1,705.41 is: 2,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.37 : 6,999.55 = 1,705.41 : x
  2. Step 2: Convert to fraction form
    4,666.37/6,999.55 = 1,705.41/x
  3. Step 3: Cross multiply
    4,666.37x = 6,999.55 × 1,705.41
  4. Step 4: Simplify right side
    4,666.37x = 11,937,098.30
  5. Step 5: Solve for x
    x = 11,937,098.30/4,666.37
  6. Step 6: Final answer
    x = 2,558.12

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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.