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Finding the Fourth Proportional to 3,535.36, 5,303.04 and 1,585.60

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Solution

The fourth proportional to 3,535.36, 5,303.04 and 1,585.60 is: 2,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.36 : 5,303.04 = 1,585.60 : x
  2. Step 2: Convert to fraction form
    3,535.36/5,303.04 = 1,585.60/x
  3. Step 3: Cross multiply
    3,535.36x = 5,303.04 × 1,585.60
  4. Step 4: Simplify right side
    3,535.36x = 8,408,500.22
  5. Step 5: Solve for x
    x = 8,408,500.22/3,535.36
  6. Step 6: Final answer
    x = 2,378.40

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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.