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Finding the Fourth Proportional to 4,676.32, 6,445.74 and 4,413.88

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Solution

The fourth proportional to 4,676.32, 6,445.74 and 4,413.88 is: 6,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.32 : 6,445.74 = 4,413.88 : x
  2. Step 2: Convert to fraction form
    4,676.32/6,445.74 = 4,413.88/x
  3. Step 3: Cross multiply
    4,676.32x = 6,445.74 × 4,413.88
  4. Step 4: Simplify right side
    4,676.32x = 28,450,722.87
  5. Step 5: Solve for x
    x = 28,450,722.87/4,676.32
  6. Step 6: Final answer
    x = 6,084.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.