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Finding the Fourth Proportional to 5,409.48, 8,109.44 and 1,897.30

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Solution

The fourth proportional to 5,409.48, 8,109.44 and 1,897.30 is: 2,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.48 : 8,109.44 = 1,897.30 : x
  2. Step 2: Convert to fraction form
    5,409.48/8,109.44 = 1,897.30/x
  3. Step 3: Cross multiply
    5,409.48x = 8,109.44 × 1,897.30
  4. Step 4: Simplify right side
    5,409.48x = 15,386,030.81
  5. Step 5: Solve for x
    x = 15,386,030.81/5,409.48
  6. Step 6: Final answer
    x = 2,844.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.