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Finding the Fourth Proportional to 5,854.34, 8,771.76 and 4,119.32

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Solution

The fourth proportional to 5,854.34, 8,771.76 and 4,119.32 is: 6,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.34 : 8,771.76 = 4,119.32 : x
  2. Step 2: Convert to fraction form
    5,854.34/8,771.76 = 4,119.32/x
  3. Step 3: Cross multiply
    5,854.34x = 8,771.76 × 4,119.32
  4. Step 4: Simplify right side
    5,854.34x = 36,133,686.40
  5. Step 5: Solve for x
    x = 36,133,686.40/5,854.34
  6. Step 6: Final answer
    x = 6,172.12

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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.