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Finding the Fourth Proportional to 5,886.93, 8,828.13 and 2,507.58

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Solution

The fourth proportional to 5,886.93, 8,828.13 and 2,507.58 is: 3,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.93 : 8,828.13 = 2,507.58 : x
  2. Step 2: Convert to fraction form
    5,886.93/8,828.13 = 2,507.58/x
  3. Step 3: Cross multiply
    5,886.93x = 8,828.13 × 2,507.58
  4. Step 4: Simplify right side
    5,886.93x = 22,137,242.23
  5. Step 5: Solve for x
    x = 22,137,242.23/5,886.93
  6. Step 6: Final answer
    x = 3,760.41

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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.