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Finding the Fourth Proportional to 4,782.65, 6,598.67 and 3,014.82

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Solution

The fourth proportional to 4,782.65, 6,598.67 and 3,014.82 is: 4,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.65 : 6,598.67 = 3,014.82 : x
  2. Step 2: Convert to fraction form
    4,782.65/6,598.67 = 3,014.82/x
  3. Step 3: Cross multiply
    4,782.65x = 6,598.67 × 3,014.82
  4. Step 4: Simplify right side
    4,782.65x = 19,893,787.22
  5. Step 5: Solve for x
    x = 19,893,787.22/4,782.65
  6. Step 6: Final answer
    x = 4,159.58

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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.