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Finding the Fourth Proportional to 3,590.46, 5,378.22 and 2,358.45

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Solution

The fourth proportional to 3,590.46, 5,378.22 and 2,358.45 is: 3,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.46 : 5,378.22 = 2,358.45 : x
  2. Step 2: Convert to fraction form
    3,590.46/5,378.22 = 2,358.45/x
  3. Step 3: Cross multiply
    3,590.46x = 5,378.22 × 2,358.45
  4. Step 4: Simplify right side
    3,590.46x = 12,684,262.96
  5. Step 5: Solve for x
    x = 12,684,262.96/3,590.46
  6. Step 6: Final answer
    x = 3,532.77

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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.