Home / 4,676.48-7,013.64-2,078

Finding the Fourth Proportional to 4,676.48, 7,013.64 and 2,078

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Solution

The fourth proportional to 4,676.48, 7,013.64 and 2,078 is: 3,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 7,013.64 = 2,078 : x
  2. Step 2: Convert to fraction form
    4,676.48/7,013.64 = 2,078/x
  3. Step 3: Cross multiply
    4,676.48x = 7,013.64 × 2,078
  4. Step 4: Simplify right side
    4,676.48x = 14,574,343.92
  5. Step 5: Solve for x
    x = 14,574,343.92/4,676.48
  6. Step 6: Final answer
    x = 3,116.52

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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.