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Finding the Fourth Proportional to 4,646.25, 6,411.81 and 2,656.85

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Solution

The fourth proportional to 4,646.25, 6,411.81 and 2,656.85 is: 3,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.25 : 6,411.81 = 2,656.85 : x
  2. Step 2: Convert to fraction form
    4,646.25/6,411.81 = 2,656.85/x
  3. Step 3: Cross multiply
    4,646.25x = 6,411.81 × 2,656.85
  4. Step 4: Simplify right side
    4,646.25x = 17,035,185.34
  5. Step 5: Solve for x
    x = 17,035,185.34/4,646.25
  6. Step 6: Final answer
    x = 3,666.44

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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.