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Finding the Fourth Proportional to 4,592.53, 6,893.40 and 3,106.99

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Solution

The fourth proportional to 4,592.53, 6,893.40 and 3,106.99 is: 4,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.53 : 6,893.40 = 3,106.99 : x
  2. Step 2: Convert to fraction form
    4,592.53/6,893.40 = 3,106.99/x
  3. Step 3: Cross multiply
    4,592.53x = 6,893.40 × 3,106.99
  4. Step 4: Simplify right side
    4,592.53x = 21,417,745.13
  5. Step 5: Solve for x
    x = 21,417,745.13/4,592.53
  6. Step 6: Final answer
    x = 4,663.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.