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Finding the Fourth Proportional to 4,830.08, 7,238.64 and 4,259.84

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Solution

The fourth proportional to 4,830.08, 7,238.64 and 4,259.84 is: 6,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.08 : 7,238.64 = 4,259.84 : x
  2. Step 2: Convert to fraction form
    4,830.08/7,238.64 = 4,259.84/x
  3. Step 3: Cross multiply
    4,830.08x = 7,238.64 × 4,259.84
  4. Step 4: Simplify right side
    4,830.08x = 30,835,448.22
  5. Step 5: Solve for x
    x = 30,835,448.22/4,830.08
  6. Step 6: Final answer
    x = 6,384.05

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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.