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Finding the Fourth Proportional to 5,630.04, 8,446.23 and 1,931.40

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Solution

The fourth proportional to 5,630.04, 8,446.23 and 1,931.40 is: 2,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.04 : 8,446.23 = 1,931.40 : x
  2. Step 2: Convert to fraction form
    5,630.04/8,446.23 = 1,931.40/x
  3. Step 3: Cross multiply
    5,630.04x = 8,446.23 × 1,931.40
  4. Step 4: Simplify right side
    5,630.04x = 16,313,048.62
  5. Step 5: Solve for x
    x = 16,313,048.62/5,630.04
  6. Step 6: Final answer
    x = 2,897.50

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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.