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Finding the Fourth Proportional to 4,646.36, 6,411.65 and 2,656.64

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Solution

The fourth proportional to 4,646.36, 6,411.65 and 2,656.64 is: 3,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.36 : 6,411.65 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    4,646.36/6,411.65 = 2,656.64/x
  3. Step 3: Cross multiply
    4,646.36x = 6,411.65 × 2,656.64
  4. Step 4: Simplify right side
    4,646.36x = 17,033,400.51
  5. Step 5: Solve for x
    x = 17,033,400.51/4,646.36
  6. Step 6: Final answer
    x = 3,665.97

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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.