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Finding the Fourth Proportional to 4,633.48, 6,947.12 and 2,554.48

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Solution

The fourth proportional to 4,633.48, 6,947.12 and 2,554.48 is: 3,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.48 : 6,947.12 = 2,554.48 : x
  2. Step 2: Convert to fraction form
    4,633.48/6,947.12 = 2,554.48/x
  3. Step 3: Cross multiply
    4,633.48x = 6,947.12 × 2,554.48
  4. Step 4: Simplify right side
    4,633.48x = 17,746,279.10
  5. Step 5: Solve for x
    x = 17,746,279.10/4,633.48
  6. Step 6: Final answer
    x = 3,830.01

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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.