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Finding the Fourth Proportional to 4,669.53, 6,963.59 and 4,410.74

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Solution

The fourth proportional to 4,669.53, 6,963.59 and 4,410.74 is: 6,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.53 : 6,963.59 = 4,410.74 : x
  2. Step 2: Convert to fraction form
    4,669.53/6,963.59 = 4,410.74/x
  3. Step 3: Cross multiply
    4,669.53x = 6,963.59 × 4,410.74
  4. Step 4: Simplify right side
    4,669.53x = 30,714,528.08
  5. Step 5: Solve for x
    x = 30,714,528.08/4,669.53
  6. Step 6: Final answer
    x = 6,577.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.