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Finding the Fourth Proportional to 3,389.81, 5,085.17 and 1,050

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Solution

The fourth proportional to 3,389.81, 5,085.17 and 1,050 is: 1,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.81 : 5,085.17 = 1,050 : x
  2. Step 2: Convert to fraction form
    3,389.81/5,085.17 = 1,050/x
  3. Step 3: Cross multiply
    3,389.81x = 5,085.17 × 1,050
  4. Step 4: Simplify right side
    3,389.81x = 5,339,423.25
  5. Step 5: Solve for x
    x = 5,339,423.25/3,389.81
  6. Step 6: Final answer
    x = 1,575.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.