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Finding the Fourth Proportional to 5,210.32, 7,806.68 and 3,154

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Solution

The fourth proportional to 5,210.32, 7,806.68 and 3,154 is: 4,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.32 : 7,806.68 = 3,154 : x
  2. Step 2: Convert to fraction form
    5,210.32/7,806.68 = 3,154/x
  3. Step 3: Cross multiply
    5,210.32x = 7,806.68 × 3,154
  4. Step 4: Simplify right side
    5,210.32x = 24,622,268.72
  5. Step 5: Solve for x
    x = 24,622,268.72/5,210.32
  6. Step 6: Final answer
    x = 4,725.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.