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Finding the Fourth Proportional to 3,368.70, 5,051.16 and 2,586.75

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Solution

The fourth proportional to 3,368.70, 5,051.16 and 2,586.75 is: 3,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.70 : 5,051.16 = 2,586.75 : x
  2. Step 2: Convert to fraction form
    3,368.70/5,051.16 = 2,586.75/x
  3. Step 3: Cross multiply
    3,368.70x = 5,051.16 × 2,586.75
  4. Step 4: Simplify right side
    3,368.70x = 13,066,088.13
  5. Step 5: Solve for x
    x = 13,066,088.13/3,368.70
  6. Step 6: Final answer
    x = 3,878.67

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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.