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Finding the Fourth Proportional to 3,420.16, 5,130.25 and 955.05

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Solution

The fourth proportional to 3,420.16, 5,130.25 and 955.05 is: 1,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.16 : 5,130.25 = 955.05 : x
  2. Step 2: Convert to fraction form
    3,420.16/5,130.25 = 955.05/x
  3. Step 3: Cross multiply
    3,420.16x = 5,130.25 × 955.05
  4. Step 4: Simplify right side
    3,420.16x = 4,899,623.64
  5. Step 5: Solve for x
    x = 4,899,623.64/3,420.16
  6. Step 6: Final answer
    x = 1,432.57

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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.