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Finding the Fourth Proportional to 4,636.85, 6,954.33 and 1,516.95

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Solution

The fourth proportional to 4,636.85, 6,954.33 and 1,516.95 is: 2,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.85 : 6,954.33 = 1,516.95 : x
  2. Step 2: Convert to fraction form
    4,636.85/6,954.33 = 1,516.95/x
  3. Step 3: Cross multiply
    4,636.85x = 6,954.33 × 1,516.95
  4. Step 4: Simplify right side
    4,636.85x = 10,549,370.89
  5. Step 5: Solve for x
    x = 10,549,370.89/4,636.85
  6. Step 6: Final answer
    x = 2,275.12

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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.