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Finding the Fourth Proportional to 4,811.47, 7,218.02 and 1,525.30

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Solution

The fourth proportional to 4,811.47, 7,218.02 and 1,525.30 is: 2,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.47 : 7,218.02 = 1,525.30 : x
  2. Step 2: Convert to fraction form
    4,811.47/7,218.02 = 1,525.30/x
  3. Step 3: Cross multiply
    4,811.47x = 7,218.02 × 1,525.30
  4. Step 4: Simplify right side
    4,811.47x = 11,009,645.91
  5. Step 5: Solve for x
    x = 11,009,645.91/4,811.47
  6. Step 6: Final answer
    x = 2,288.21

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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.