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Finding the Fourth Proportional to 4,536.43, 6,259.95 and 4,164.64

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Solution

The fourth proportional to 4,536.43, 6,259.95 and 4,164.64 is: 5,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.43 : 6,259.95 = 4,164.64 : x
  2. Step 2: Convert to fraction form
    4,536.43/6,259.95 = 4,164.64/x
  3. Step 3: Cross multiply
    4,536.43x = 6,259.95 × 4,164.64
  4. Step 4: Simplify right side
    4,536.43x = 26,070,422.52
  5. Step 5: Solve for x
    x = 26,070,422.52/4,536.43
  6. Step 6: Final answer
    x = 5,746.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.