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Finding the Fourth Proportional to 3,848.54, 5,307.42 and 2,570.16

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Solution

The fourth proportional to 3,848.54, 5,307.42 and 2,570.16 is: 3,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.54 : 5,307.42 = 2,570.16 : x
  2. Step 2: Convert to fraction form
    3,848.54/5,307.42 = 2,570.16/x
  3. Step 3: Cross multiply
    3,848.54x = 5,307.42 × 2,570.16
  4. Step 4: Simplify right side
    3,848.54x = 13,640,918.59
  5. Step 5: Solve for x
    x = 13,640,918.59/3,848.54
  6. Step 6: Final answer
    x = 3,544.44

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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.