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Finding the Fourth Proportional to 3,988.29, 5,970.15 and 3,648.09

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Solution

The fourth proportional to 3,988.29, 5,970.15 and 3,648.09 is: 5,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.29 : 5,970.15 = 3,648.09 : x
  2. Step 2: Convert to fraction form
    3,988.29/5,970.15 = 3,648.09/x
  3. Step 3: Cross multiply
    3,988.29x = 5,970.15 × 3,648.09
  4. Step 4: Simplify right side
    3,988.29x = 21,779,644.51
  5. Step 5: Solve for x
    x = 21,779,644.51/3,988.29
  6. Step 6: Final answer
    x = 5,460.90

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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.