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Finding the Fourth Proportional to 5,307.60, 7,962.16 and 1,844

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Solution

The fourth proportional to 5,307.60, 7,962.16 and 1,844 is: 2,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.60 : 7,962.16 = 1,844 : x
  2. Step 2: Convert to fraction form
    5,307.60/7,962.16 = 1,844/x
  3. Step 3: Cross multiply
    5,307.60x = 7,962.16 × 1,844
  4. Step 4: Simplify right side
    5,307.60x = 14,682,223.04
  5. Step 5: Solve for x
    x = 14,682,223.04/5,307.60
  6. Step 6: Final answer
    x = 2,766.26

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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.