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Finding the Fourth Proportional to 5,315.45, 7,335.65 and 3,078.03

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Solution

The fourth proportional to 5,315.45, 7,335.65 and 3,078.03 is: 4,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.45 : 7,335.65 = 3,078.03 : x
  2. Step 2: Convert to fraction form
    5,315.45/7,335.65 = 3,078.03/x
  3. Step 3: Cross multiply
    5,315.45x = 7,335.65 × 3,078.03
  4. Step 4: Simplify right side
    5,315.45x = 22,579,335.38
  5. Step 5: Solve for x
    x = 22,579,335.38/5,315.45
  6. Step 6: Final answer
    x = 4,247.87

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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.