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Finding the Fourth Proportional to 3,597.30, 5,395.92 and 1,407.56

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Solution

The fourth proportional to 3,597.30, 5,395.92 and 1,407.56 is: 2,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.30 : 5,395.92 = 1,407.56 : x
  2. Step 2: Convert to fraction form
    3,597.30/5,395.92 = 1,407.56/x
  3. Step 3: Cross multiply
    3,597.30x = 5,395.92 × 1,407.56
  4. Step 4: Simplify right side
    3,597.30x = 7,595,081.16
  5. Step 5: Solve for x
    x = 7,595,081.16/3,597.30
  6. Step 6: Final answer
    x = 2,111.33

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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.