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Finding the Fourth Proportional to 4,674, 7,013.40 and 2,365.56

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Solution

The fourth proportional to 4,674, 7,013.40 and 2,365.56 is: 3,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674 : 7,013.40 = 2,365.56 : x
  2. Step 2: Convert to fraction form
    4,674/7,013.40 = 2,365.56/x
  3. Step 3: Cross multiply
    4,674x = 7,013.40 × 2,365.56
  4. Step 4: Simplify right side
    4,674x = 16,590,618.50
  5. Step 5: Solve for x
    x = 16,590,618.50/4,674
  6. Step 6: Final answer
    x = 3,549.55

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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.