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Finding the Fourth Proportional to 5,302.03, 7,320.09 and 3,416.86

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Solution

The fourth proportional to 5,302.03, 7,320.09 and 3,416.86 is: 4,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.03 : 7,320.09 = 3,416.86 : x
  2. Step 2: Convert to fraction form
    5,302.03/7,320.09 = 3,416.86/x
  3. Step 3: Cross multiply
    5,302.03x = 7,320.09 × 3,416.86
  4. Step 4: Simplify right side
    5,302.03x = 25,011,722.72
  5. Step 5: Solve for x
    x = 25,011,722.72/5,302.03
  6. Step 6: Final answer
    x = 4,717.39

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Why These Related Problems?

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