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Finding the Fourth Proportional to 4,914.56, 6,783.84 and 4,389.68

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Solution

The fourth proportional to 4,914.56, 6,783.84 and 4,389.68 is: 6,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.56 : 6,783.84 = 4,389.68 : x
  2. Step 2: Convert to fraction form
    4,914.56/6,783.84 = 4,389.68/x
  3. Step 3: Cross multiply
    4,914.56x = 6,783.84 × 4,389.68
  4. Step 4: Simplify right side
    4,914.56x = 29,778,886.77
  5. Step 5: Solve for x
    x = 29,778,886.77/4,914.56
  6. Step 6: Final answer
    x = 6,059.32

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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.