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Finding the Fourth Proportional to 4,643.52, 6,962.20 and 2,564.52

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Solution

The fourth proportional to 4,643.52, 6,962.20 and 2,564.52 is: 3,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.52 : 6,962.20 = 2,564.52 : x
  2. Step 2: Convert to fraction form
    4,643.52/6,962.20 = 2,564.52/x
  3. Step 3: Cross multiply
    4,643.52x = 6,962.20 × 2,564.52
  4. Step 4: Simplify right side
    4,643.52x = 17,854,701.14
  5. Step 5: Solve for x
    x = 17,854,701.14/4,643.52
  6. Step 6: Final answer
    x = 3,845.08

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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.