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Finding the Fourth Proportional to 4,886.64, 7,329.92 and 1,188.87

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Solution

The fourth proportional to 4,886.64, 7,329.92 and 1,188.87 is: 1,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.64 : 7,329.92 = 1,188.87 : x
  2. Step 2: Convert to fraction form
    4,886.64/7,329.92 = 1,188.87/x
  3. Step 3: Cross multiply
    4,886.64x = 7,329.92 × 1,188.87
  4. Step 4: Simplify right side
    4,886.64x = 8,714,316.05
  5. Step 5: Solve for x
    x = 8,714,316.05/4,886.64
  6. Step 6: Final answer
    x = 1,783.29

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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.