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Finding the Fourth Proportional to 3,389.46, 4,676.08 and 2,130.10

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Solution

The fourth proportional to 3,389.46, 4,676.08 and 2,130.10 is: 2,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.46 : 4,676.08 = 2,130.10 : x
  2. Step 2: Convert to fraction form
    3,389.46/4,676.08 = 2,130.10/x
  3. Step 3: Cross multiply
    3,389.46x = 4,676.08 × 2,130.10
  4. Step 4: Simplify right side
    3,389.46x = 9,960,518.01
  5. Step 5: Solve for x
    x = 9,960,518.01/3,389.46
  6. Step 6: Final answer
    x = 2,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.