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Finding the Fourth Proportional to 3,829.03, 5,281.98 and 2,464

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Solution

The fourth proportional to 3,829.03, 5,281.98 and 2,464 is: 3,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.03 : 5,281.98 = 2,464 : x
  2. Step 2: Convert to fraction form
    3,829.03/5,281.98 = 2,464/x
  3. Step 3: Cross multiply
    3,829.03x = 5,281.98 × 2,464
  4. Step 4: Simplify right side
    3,829.03x = 13,014,798.72
  5. Step 5: Solve for x
    x = 13,014,798.72/3,829.03
  6. Step 6: Final answer
    x = 3,398.98

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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.