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Finding the Fourth Proportional to 5,673.32, 7,829.22 and 3,315

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Solution

The fourth proportional to 5,673.32, 7,829.22 and 3,315 is: 4,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.32 : 7,829.22 = 3,315 : x
  2. Step 2: Convert to fraction form
    5,673.32/7,829.22 = 3,315/x
  3. Step 3: Cross multiply
    5,673.32x = 7,829.22 × 3,315
  4. Step 4: Simplify right side
    5,673.32x = 25,953,864.30
  5. Step 5: Solve for x
    x = 25,953,864.30/5,673.32
  6. Step 6: Final answer
    x = 4,574.72

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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.