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Finding the Fourth Proportional to 5,885.76, 8,829.12 and 4,356.48

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Solution

The fourth proportional to 5,885.76, 8,829.12 and 4,356.48 is: 6,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.76 : 8,829.12 = 4,356.48 : x
  2. Step 2: Convert to fraction form
    5,885.76/8,829.12 = 4,356.48/x
  3. Step 3: Cross multiply
    5,885.76x = 8,829.12 × 4,356.48
  4. Step 4: Simplify right side
    5,885.76x = 38,463,884.70
  5. Step 5: Solve for x
    x = 38,463,884.70/5,885.76
  6. Step 6: Final answer
    x = 6,535.08

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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.