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Finding the Fourth Proportional to 3,470.15, 5,205.27 and 1,130.16

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Solution

The fourth proportional to 3,470.15, 5,205.27 and 1,130.16 is: 1,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.15 : 5,205.27 = 1,130.16 : x
  2. Step 2: Convert to fraction form
    3,470.15/5,205.27 = 1,130.16/x
  3. Step 3: Cross multiply
    3,470.15x = 5,205.27 × 1,130.16
  4. Step 4: Simplify right side
    3,470.15x = 5,882,782.29
  5. Step 5: Solve for x
    x = 5,882,782.29/3,470.15
  6. Step 6: Final answer
    x = 1,695.26

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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.