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Finding the Fourth Proportional to 5,886.12, 8,828.48 and 1,503.26

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Solution

The fourth proportional to 5,886.12, 8,828.48 and 1,503.26 is: 2,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.12 : 8,828.48 = 1,503.26 : x
  2. Step 2: Convert to fraction form
    5,886.12/8,828.48 = 1,503.26/x
  3. Step 3: Cross multiply
    5,886.12x = 8,828.48 × 1,503.26
  4. Step 4: Simplify right side
    5,886.12x = 13,271,500.84
  5. Step 5: Solve for x
    x = 13,271,500.84/5,886.12
  6. Step 6: Final answer
    x = 2,254.71

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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.