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Finding the Fourth Proportional to 5,829.48, 8,734.08 and 5,258.43

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Solution

The fourth proportional to 5,829.48, 8,734.08 and 5,258.43 is: 7,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.48 : 8,734.08 = 5,258.43 : x
  2. Step 2: Convert to fraction form
    5,829.48/8,734.08 = 5,258.43/x
  3. Step 3: Cross multiply
    5,829.48x = 8,734.08 × 5,258.43
  4. Step 4: Simplify right side
    5,829.48x = 45,927,548.29
  5. Step 5: Solve for x
    x = 45,927,548.29/5,829.48
  6. Step 6: Final answer
    x = 7,878.50

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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.