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Finding the Fourth Proportional to 3,152.86, 4,730.04 and 1,589.02

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Solution

The fourth proportional to 3,152.86, 4,730.04 and 1,589.02 is: 2,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.86 : 4,730.04 = 1,589.02 : x
  2. Step 2: Convert to fraction form
    3,152.86/4,730.04 = 1,589.02/x
  3. Step 3: Cross multiply
    3,152.86x = 4,730.04 × 1,589.02
  4. Step 4: Simplify right side
    3,152.86x = 7,516,128.16
  5. Step 5: Solve for x
    x = 7,516,128.16/3,152.86
  6. Step 6: Final answer
    x = 2,383.91

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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.