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Finding the Fourth Proportional to 5,233.32, 7,848.32 and 1,769.76

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Solution

The fourth proportional to 5,233.32, 7,848.32 and 1,769.76 is: 2,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.32 : 7,848.32 = 1,769.76 : x
  2. Step 2: Convert to fraction form
    5,233.32/7,848.32 = 1,769.76/x
  3. Step 3: Cross multiply
    5,233.32x = 7,848.32 × 1,769.76
  4. Step 4: Simplify right side
    5,233.32x = 13,889,642.80
  5. Step 5: Solve for x
    x = 13,889,642.80/5,233.32
  6. Step 6: Final answer
    x = 2,654.08

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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.