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Finding the Fourth Proportional to 4,886.84, 7,330.26 and 1,189.08

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Solution

The fourth proportional to 4,886.84, 7,330.26 and 1,189.08 is: 1,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.84 : 7,330.26 = 1,189.08 : x
  2. Step 2: Convert to fraction form
    4,886.84/7,330.26 = 1,189.08/x
  3. Step 3: Cross multiply
    4,886.84x = 7,330.26 × 1,189.08
  4. Step 4: Simplify right side
    4,886.84x = 8,716,270.02
  5. Step 5: Solve for x
    x = 8,716,270.02/4,886.84
  6. Step 6: Final answer
    x = 1,783.62

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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.