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Finding the Fourth Proportional to 4,563.84, 6,852.24 and 4,355.04

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Solution

The fourth proportional to 4,563.84, 6,852.24 and 4,355.04 is: 6,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.84 : 6,852.24 = 4,355.04 : x
  2. Step 2: Convert to fraction form
    4,563.84/6,852.24 = 4,355.04/x
  3. Step 3: Cross multiply
    4,563.84x = 6,852.24 × 4,355.04
  4. Step 4: Simplify right side
    4,563.84x = 29,841,779.29
  5. Step 5: Solve for x
    x = 29,841,779.29/4,563.84
  6. Step 6: Final answer
    x = 6,538.74

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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.