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Finding the Fourth Proportional to 5,885.64, 8,828.44 and 1,503.06

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Solution

The fourth proportional to 5,885.64, 8,828.44 and 1,503.06 is: 2,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.64 : 8,828.44 = 1,503.06 : x
  2. Step 2: Convert to fraction form
    5,885.64/8,828.44 = 1,503.06/x
  3. Step 3: Cross multiply
    5,885.64x = 8,828.44 × 1,503.06
  4. Step 4: Simplify right side
    5,885.64x = 13,269,675.03
  5. Step 5: Solve for x
    x = 13,269,675.03/5,885.64
  6. Step 6: Final answer
    x = 2,254.58

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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.