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Finding the Fourth Proportional to 3,052.35, 4,575 and 1,405.44

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Solution

The fourth proportional to 3,052.35, 4,575 and 1,405.44 is: 2,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.35 : 4,575 = 1,405.44 : x
  2. Step 2: Convert to fraction form
    3,052.35/4,575 = 1,405.44/x
  3. Step 3: Cross multiply
    3,052.35x = 4,575 × 1,405.44
  4. Step 4: Simplify right side
    3,052.35x = 6,429,888
  5. Step 5: Solve for x
    x = 6,429,888/3,052.35
  6. Step 6: Final answer
    x = 2,106.54

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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.