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Finding the Fourth Proportional to 4,643.48, 6,404.46 and 3,152.54

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Solution

The fourth proportional to 4,643.48, 6,404.46 and 3,152.54 is: 4,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.48 : 6,404.46 = 3,152.54 : x
  2. Step 2: Convert to fraction form
    4,643.48/6,404.46 = 3,152.54/x
  3. Step 3: Cross multiply
    4,643.48x = 6,404.46 × 3,152.54
  4. Step 4: Simplify right side
    4,643.48x = 20,190,316.33
  5. Step 5: Solve for x
    x = 20,190,316.33/4,643.48
  6. Step 6: Final answer
    x = 4,348.10

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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.