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Finding the Fourth Proportional to 3,596.22, 5,395.68 and 1,256.40

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Solution

The fourth proportional to 3,596.22, 5,395.68 and 1,256.40 is: 1,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.22 : 5,395.68 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    3,596.22/5,395.68 = 1,256.40/x
  3. Step 3: Cross multiply
    3,596.22x = 5,395.68 × 1,256.40
  4. Step 4: Simplify right side
    3,596.22x = 6,779,132.35
  5. Step 5: Solve for x
    x = 6,779,132.35/3,596.22
  6. Step 6: Final answer
    x = 1,885.07

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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.