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Finding the Fourth Proportional to 5,886.68, 8,821.74 and 4,648.64

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Solution

The fourth proportional to 5,886.68, 8,821.74 and 4,648.64 is: 6,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.68 : 8,821.74 = 4,648.64 : x
  2. Step 2: Convert to fraction form
    5,886.68/8,821.74 = 4,648.64/x
  3. Step 3: Cross multiply
    5,886.68x = 8,821.74 × 4,648.64
  4. Step 4: Simplify right side
    5,886.68x = 41,009,093.43
  5. Step 5: Solve for x
    x = 41,009,093.43/5,886.68
  6. Step 6: Final answer
    x = 6,966.42

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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.