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Finding the Fourth Proportional to 5,409.76, 7,465.44 and 3,051.76

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Solution

The fourth proportional to 5,409.76, 7,465.44 and 3,051.76 is: 4,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.76 : 7,465.44 = 3,051.76 : x
  2. Step 2: Convert to fraction form
    5,409.76/7,465.44 = 3,051.76/x
  3. Step 3: Cross multiply
    5,409.76x = 7,465.44 × 3,051.76
  4. Step 4: Simplify right side
    5,409.76x = 22,782,731.17
  5. Step 5: Solve for x
    x = 22,782,731.17/5,409.76
  6. Step 6: Final answer
    x = 4,211.41

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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.