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Finding the Fourth Proportional to 4,701.60, 6,486.03 and 2,711.43

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Solution

The fourth proportional to 4,701.60, 6,486.03 and 2,711.43 is: 3,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.60 : 6,486.03 = 2,711.43 : x
  2. Step 2: Convert to fraction form
    4,701.60/6,486.03 = 2,711.43/x
  3. Step 3: Cross multiply
    4,701.60x = 6,486.03 × 2,711.43
  4. Step 4: Simplify right side
    4,701.60x = 17,586,416.32
  5. Step 5: Solve for x
    x = 17,586,416.32/4,701.60
  6. Step 6: Final answer
    x = 3,740.52

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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.