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Finding the Fourth Proportional to 5,917.51, 8,876.27 and 1,534.87

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Solution

The fourth proportional to 5,917.51, 8,876.27 and 1,534.87 is: 2,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.51 : 8,876.27 = 1,534.87 : x
  2. Step 2: Convert to fraction form
    5,917.51/8,876.27 = 1,534.87/x
  3. Step 3: Cross multiply
    5,917.51x = 8,876.27 × 1,534.87
  4. Step 4: Simplify right side
    5,917.51x = 13,623,920.53
  5. Step 5: Solve for x
    x = 13,623,920.53/5,917.51
  6. Step 6: Final answer
    x = 2,302.31

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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.