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Finding the Fourth Proportional to 5,307.08, 7,960.60 and 1,411.49

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Solution

The fourth proportional to 5,307.08, 7,960.60 and 1,411.49 is: 2,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.08 : 7,960.60 = 1,411.49 : x
  2. Step 2: Convert to fraction form
    5,307.08/7,960.60 = 1,411.49/x
  3. Step 3: Cross multiply
    5,307.08x = 7,960.60 × 1,411.49
  4. Step 4: Simplify right side
    5,307.08x = 11,236,260.43
  5. Step 5: Solve for x
    x = 11,236,260.43/5,307.08
  6. Step 6: Final answer
    x = 2,117.22

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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.