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Finding the Fourth Proportional to 4,645.39, 6,410.64 and 2,656.00

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Solution

The fourth proportional to 4,645.39, 6,410.64 and 2,656.00 is: 3,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.39 : 6,410.64 = 2,656.00 : x
  2. Step 2: Convert to fraction form
    4,645.39/6,410.64 = 2,656.00/x
  3. Step 3: Cross multiply
    4,645.39x = 6,410.64 × 2,656.00
  4. Step 4: Simplify right side
    4,645.39x = 17,026,627.79
  5. Step 5: Solve for x
    x = 17,026,627.79/4,645.39
  6. Step 6: Final answer
    x = 3,665.28

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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.