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Finding the Fourth Proportional to 4,646.25, 6,410.26 and 2,968.64

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Solution

The fourth proportional to 4,646.25, 6,410.26 and 2,968.64 is: 4,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.25 : 6,410.26 = 2,968.64 : x
  2. Step 2: Convert to fraction form
    4,646.25/6,410.26 = 2,968.64/x
  3. Step 3: Cross multiply
    4,646.25x = 6,410.26 × 2,968.64
  4. Step 4: Simplify right side
    4,646.25x = 19,029,714.77
  5. Step 5: Solve for x
    x = 19,029,714.77/4,646.25
  6. Step 6: Final answer
    x = 4,095.72

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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.