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Finding the Fourth Proportional to 5,983.19, 8,911.58 and 5,670.93

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Solution

The fourth proportional to 5,983.19, 8,911.58 and 5,670.93 is: 8,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.19 : 8,911.58 = 5,670.93 : x
  2. Step 2: Convert to fraction form
    5,983.19/8,911.58 = 5,670.93/x
  3. Step 3: Cross multiply
    5,983.19x = 8,911.58 × 5,670.93
  4. Step 4: Simplify right side
    5,983.19x = 50,536,946.37
  5. Step 5: Solve for x
    x = 50,536,946.37/5,983.19
  6. Step 6: Final answer
    x = 8,446.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.