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Finding the Fourth Proportional to 4,886, 7,330.16 and 1,599.09

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Solution

The fourth proportional to 4,886, 7,330.16 and 1,599.09 is: 2,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886 : 7,330.16 = 1,599.09 : x
  2. Step 2: Convert to fraction form
    4,886/7,330.16 = 1,599.09/x
  3. Step 3: Cross multiply
    4,886x = 7,330.16 × 1,599.09
  4. Step 4: Simplify right side
    4,886x = 11,721,585.55
  5. Step 5: Solve for x
    x = 11,721,585.55/4,886
  6. Step 6: Final answer
    x = 2,399.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.