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Finding the Fourth Proportional to 3,420.39, 5,130.42 and 955.15

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Solution

The fourth proportional to 3,420.39, 5,130.42 and 955.15 is: 1,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.39 : 5,130.42 = 955.15 : x
  2. Step 2: Convert to fraction form
    3,420.39/5,130.42 = 955.15/x
  3. Step 3: Cross multiply
    3,420.39x = 5,130.42 × 955.15
  4. Step 4: Simplify right side
    3,420.39x = 4,900,320.66
  5. Step 5: Solve for x
    x = 4,900,320.66/3,420.39
  6. Step 6: Final answer
    x = 1,432.68

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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.