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Finding the Fourth Proportional to 5,885.63, 8,869.77 and 5,301.29

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Solution

The fourth proportional to 5,885.63, 8,869.77 and 5,301.29 is: 7,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.63 : 8,869.77 = 5,301.29 : x
  2. Step 2: Convert to fraction form
    5,885.63/8,869.77 = 5,301.29/x
  3. Step 3: Cross multiply
    5,885.63x = 8,869.77 × 5,301.29
  4. Step 4: Simplify right side
    5,885.63x = 47,021,223.00
  5. Step 5: Solve for x
    x = 47,021,223.00/5,885.63
  6. Step 6: Final answer
    x = 7,989.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.