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Finding the Fourth Proportional to 4,782.12, 6,598.02 and 3,012.84

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Solution

The fourth proportional to 4,782.12, 6,598.02 and 3,012.84 is: 4,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.12 : 6,598.02 = 3,012.84 : x
  2. Step 2: Convert to fraction form
    4,782.12/6,598.02 = 3,012.84/x
  3. Step 3: Cross multiply
    4,782.12x = 6,598.02 × 3,012.84
  4. Step 4: Simplify right side
    4,782.12x = 19,878,778.58
  5. Step 5: Solve for x
    x = 19,878,778.58/4,782.12
  6. Step 6: Final answer
    x = 4,156.90

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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.