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Finding the Fourth Proportional to 4,953.51, 6,835.59 and 2,857.50

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Solution

The fourth proportional to 4,953.51, 6,835.59 and 2,857.50 is: 3,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.51 : 6,835.59 = 2,857.50 : x
  2. Step 2: Convert to fraction form
    4,953.51/6,835.59 = 2,857.50/x
  3. Step 3: Cross multiply
    4,953.51x = 6,835.59 × 2,857.50
  4. Step 4: Simplify right side
    4,953.51x = 19,532,698.43
  5. Step 5: Solve for x
    x = 19,532,698.43/4,953.51
  6. Step 6: Final answer
    x = 3,943.20

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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.