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Finding the Fourth Proportional to 5,733.34, 8,598.93 and 2,035.42

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Solution

The fourth proportional to 5,733.34, 8,598.93 and 2,035.42 is: 3,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.34 : 8,598.93 = 2,035.42 : x
  2. Step 2: Convert to fraction form
    5,733.34/8,598.93 = 2,035.42/x
  3. Step 3: Cross multiply
    5,733.34x = 8,598.93 × 2,035.42
  4. Step 4: Simplify right side
    5,733.34x = 17,502,434.10
  5. Step 5: Solve for x
    x = 17,502,434.10/5,733.34
  6. Step 6: Final answer
    x = 3,052.75

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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.