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Finding the Fourth Proportional to 5,409.38, 7,465.26 and 3,051.88

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Solution

The fourth proportional to 5,409.38, 7,465.26 and 3,051.88 is: 4,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.38 : 7,465.26 = 3,051.88 : x
  2. Step 2: Convert to fraction form
    5,409.38/7,465.26 = 3,051.88/x
  3. Step 3: Cross multiply
    5,409.38x = 7,465.26 × 3,051.88
  4. Step 4: Simplify right side
    5,409.38x = 22,783,070.47
  5. Step 5: Solve for x
    x = 22,783,070.47/5,409.38
  6. Step 6: Final answer
    x = 4,211.77

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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.