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Finding the Fourth Proportional to 4,953.12, 6,835.70 and 4,066.44

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Solution

The fourth proportional to 4,953.12, 6,835.70 and 4,066.44 is: 5,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.12 : 6,835.70 = 4,066.44 : x
  2. Step 2: Convert to fraction form
    4,953.12/6,835.70 = 4,066.44/x
  3. Step 3: Cross multiply
    4,953.12x = 6,835.70 × 4,066.44
  4. Step 4: Simplify right side
    4,953.12x = 27,796,963.91
  5. Step 5: Solve for x
    x = 27,796,963.91/4,953.12
  6. Step 6: Final answer
    x = 5,612.01

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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.