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Finding the Fourth Proportional to 4,704.42, 6,490 and 3,025.51

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Solution

The fourth proportional to 4,704.42, 6,490 and 3,025.51 is: 4,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.42 : 6,490 = 3,025.51 : x
  2. Step 2: Convert to fraction form
    4,704.42/6,490 = 3,025.51/x
  3. Step 3: Cross multiply
    4,704.42x = 6,490 × 3,025.51
  4. Step 4: Simplify right side
    4,704.42x = 19,635,559.90
  5. Step 5: Solve for x
    x = 19,635,559.90/4,704.42
  6. Step 6: Final answer
    x = 4,173.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.