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Finding the Fourth Proportional to 5,929.50, 8,186.13 and 4,534.86

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Solution

The fourth proportional to 5,929.50, 8,186.13 and 4,534.86 is: 6,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.50 : 8,186.13 = 4,534.86 : x
  2. Step 2: Convert to fraction form
    5,929.50/8,186.13 = 4,534.86/x
  3. Step 3: Cross multiply
    5,929.50x = 8,186.13 × 4,534.86
  4. Step 4: Simplify right side
    5,929.50x = 37,122,953.49
  5. Step 5: Solve for x
    x = 37,122,953.49/5,929.50
  6. Step 6: Final answer
    x = 6,260.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.