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Finding the Fourth Proportional to 3,423.30, 5,135.00 and 958.16

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Solution

The fourth proportional to 3,423.30, 5,135.00 and 958.16 is: 1,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.30 : 5,135.00 = 958.16 : x
  2. Step 2: Convert to fraction form
    3,423.30/5,135.00 = 958.16/x
  3. Step 3: Cross multiply
    3,423.30x = 5,135.00 × 958.16
  4. Step 4: Simplify right side
    3,423.30x = 4,920,159.65
  5. Step 5: Solve for x
    x = 4,920,159.65/3,423.30
  6. Step 6: Final answer
    x = 1,437.26

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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.