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Finding the Fourth Proportional to 3,585.28, 5,378.28 and 1,505.98

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Solution

The fourth proportional to 3,585.28, 5,378.28 and 1,505.98 is: 2,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.28 : 5,378.28 = 1,505.98 : x
  2. Step 2: Convert to fraction form
    3,585.28/5,378.28 = 1,505.98/x
  3. Step 3: Cross multiply
    3,585.28x = 5,378.28 × 1,505.98
  4. Step 4: Simplify right side
    3,585.28x = 8,099,582.11
  5. Step 5: Solve for x
    x = 8,099,582.11/3,585.28
  6. Step 6: Final answer
    x = 2,259.12

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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.