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Finding the Fourth Proportional to 3,970.05, 5,477.55 and 3,128.14

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Solution

The fourth proportional to 3,970.05, 5,477.55 and 3,128.14 is: 4,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.05 : 5,477.55 = 3,128.14 : x
  2. Step 2: Convert to fraction form
    3,970.05/5,477.55 = 3,128.14/x
  3. Step 3: Cross multiply
    3,970.05x = 5,477.55 × 3,128.14
  4. Step 4: Simplify right side
    3,970.05x = 17,134,543.26
  5. Step 5: Solve for x
    x = 17,134,543.26/3,970.05
  6. Step 6: Final answer
    x = 4,315.95

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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.