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Finding the Fourth Proportional to 4,152.98, 5,731.14 and 2,384.54

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Solution

The fourth proportional to 4,152.98, 5,731.14 and 2,384.54 is: 3,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.98 : 5,731.14 = 2,384.54 : x
  2. Step 2: Convert to fraction form
    4,152.98/5,731.14 = 2,384.54/x
  3. Step 3: Cross multiply
    4,152.98x = 5,731.14 × 2,384.54
  4. Step 4: Simplify right side
    4,152.98x = 13,666,132.58
  5. Step 5: Solve for x
    x = 13,666,132.58/4,152.98
  6. Step 6: Final answer
    x = 3,290.68

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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.