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Finding the Fourth Proportional to 3,420.13, 5,130.04 and 954.90

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Solution

The fourth proportional to 3,420.13, 5,130.04 and 954.90 is: 1,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.13 : 5,130.04 = 954.90 : x
  2. Step 2: Convert to fraction form
    3,420.13/5,130.04 = 954.90/x
  3. Step 3: Cross multiply
    3,420.13x = 5,130.04 × 954.90
  4. Step 4: Simplify right side
    3,420.13x = 4,898,675.20
  5. Step 5: Solve for x
    x = 4,898,675.20/3,420.13
  6. Step 6: Final answer
    x = 1,432.31

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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.