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Finding the Fourth Proportional to 4,857.37, 6,689.18 and 4,635.93

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Solution

The fourth proportional to 4,857.37, 6,689.18 and 4,635.93 is: 6,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.37 : 6,689.18 = 4,635.93 : x
  2. Step 2: Convert to fraction form
    4,857.37/6,689.18 = 4,635.93/x
  3. Step 3: Cross multiply
    4,857.37x = 6,689.18 × 4,635.93
  4. Step 4: Simplify right side
    4,857.37x = 31,010,606.91
  5. Step 5: Solve for x
    x = 31,010,606.91/4,857.37
  6. Step 6: Final answer
    x = 6,384.24

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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.