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Finding the Fourth Proportional to 4,258.76, 6,394.18 and 2,413.50

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Solution

The fourth proportional to 4,258.76, 6,394.18 and 2,413.50 is: 3,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.76 : 6,394.18 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    4,258.76/6,394.18 = 2,413.50/x
  3. Step 3: Cross multiply
    4,258.76x = 6,394.18 × 2,413.50
  4. Step 4: Simplify right side
    4,258.76x = 15,432,353.43
  5. Step 5: Solve for x
    x = 15,432,353.43/4,258.76
  6. Step 6: Final answer
    x = 3,623.67

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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.