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Finding the Fourth Proportional to 5,326.76, 7,358.10 and 4,829.96

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Solution

The fourth proportional to 5,326.76, 7,358.10 and 4,829.96 is: 6,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.76 : 7,358.10 = 4,829.96 : x
  2. Step 2: Convert to fraction form
    5,326.76/7,358.10 = 4,829.96/x
  3. Step 3: Cross multiply
    5,326.76x = 7,358.10 × 4,829.96
  4. Step 4: Simplify right side
    5,326.76x = 35,539,328.68
  5. Step 5: Solve for x
    x = 35,539,328.68/5,326.76
  6. Step 6: Final answer
    x = 6,671.85

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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.