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Finding the Fourth Proportional to 3,779.51, 5,667.05 and 1,146.23

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Solution

The fourth proportional to 3,779.51, 5,667.05 and 1,146.23 is: 1,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.51 : 5,667.05 = 1,146.23 : x
  2. Step 2: Convert to fraction form
    3,779.51/5,667.05 = 1,146.23/x
  3. Step 3: Cross multiply
    3,779.51x = 5,667.05 × 1,146.23
  4. Step 4: Simplify right side
    3,779.51x = 6,495,717.25
  5. Step 5: Solve for x
    x = 6,495,717.25/3,779.51
  6. Step 6: Final answer
    x = 1,718.67

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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.