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Finding the Fourth Proportional to 4,662.60, 6,990.82 and 1,886.02

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Solution

The fourth proportional to 4,662.60, 6,990.82 and 1,886.02 is: 2,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.60 : 6,990.82 = 1,886.02 : x
  2. Step 2: Convert to fraction form
    4,662.60/6,990.82 = 1,886.02/x
  3. Step 3: Cross multiply
    4,662.60x = 6,990.82 × 1,886.02
  4. Step 4: Simplify right side
    4,662.60x = 13,184,808.86
  5. Step 5: Solve for x
    x = 13,184,808.86/4,662.60
  6. Step 6: Final answer
    x = 2,827.78

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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.