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Finding the Fourth Proportional to 5,384.86, 7,430.86 and 3,026.94

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Solution

The fourth proportional to 5,384.86, 7,430.86 and 3,026.94 is: 4,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.86 : 7,430.86 = 3,026.94 : x
  2. Step 2: Convert to fraction form
    5,384.86/7,430.86 = 3,026.94/x
  3. Step 3: Cross multiply
    5,384.86x = 7,430.86 × 3,026.94
  4. Step 4: Simplify right side
    5,384.86x = 22,492,767.37
  5. Step 5: Solve for x
    x = 22,492,767.37/5,384.86
  6. Step 6: Final answer
    x = 4,177.04

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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.