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Finding the Fourth Proportional to 4,698.64, 7,039.26 and 2,355.91

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Solution

The fourth proportional to 4,698.64, 7,039.26 and 2,355.91 is: 3,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.64 : 7,039.26 = 2,355.91 : x
  2. Step 2: Convert to fraction form
    4,698.64/7,039.26 = 2,355.91/x
  3. Step 3: Cross multiply
    4,698.64x = 7,039.26 × 2,355.91
  4. Step 4: Simplify right side
    4,698.64x = 16,583,863.03
  5. Step 5: Solve for x
    x = 16,583,863.03/4,698.64
  6. Step 6: Final answer
    x = 3,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.