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Finding the Fourth Proportional to 4,703.21, 7,055.49 and 1,416.56

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Solution

The fourth proportional to 4,703.21, 7,055.49 and 1,416.56 is: 2,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.21 : 7,055.49 = 1,416.56 : x
  2. Step 2: Convert to fraction form
    4,703.21/7,055.49 = 1,416.56/x
  3. Step 3: Cross multiply
    4,703.21x = 7,055.49 × 1,416.56
  4. Step 4: Simplify right side
    4,703.21x = 9,994,489.64
  5. Step 5: Solve for x
    x = 9,994,489.64/4,703.21
  6. Step 6: Final answer
    x = 2,125.04

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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.