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Finding the Fourth Proportional to 5,409.19, 7,464.54 and 3,051.14

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Solution

The fourth proportional to 5,409.19, 7,464.54 and 3,051.14 is: 4,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.19 : 7,464.54 = 3,051.14 : x
  2. Step 2: Convert to fraction form
    5,409.19/7,464.54 = 3,051.14/x
  3. Step 3: Cross multiply
    5,409.19x = 7,464.54 × 3,051.14
  4. Step 4: Simplify right side
    5,409.19x = 22,775,375.24
  5. Step 5: Solve for x
    x = 22,775,375.24/5,409.19
  6. Step 6: Final answer
    x = 4,210.50

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