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Finding the Fourth Proportional to 5,281.01, 7,914.10 and 4,105.63

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Solution

The fourth proportional to 5,281.01, 7,914.10 and 4,105.63 is: 6,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.01 : 7,914.10 = 4,105.63 : x
  2. Step 2: Convert to fraction form
    5,281.01/7,914.10 = 4,105.63/x
  3. Step 3: Cross multiply
    5,281.01x = 7,914.10 × 4,105.63
  4. Step 4: Simplify right side
    5,281.01x = 32,492,326.81
  5. Step 5: Solve for x
    x = 32,492,326.81/5,281.01
  6. Step 6: Final answer
    x = 6,152.68

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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.