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Finding the Fourth Proportional to 4,752.10, 7,128.15 and 1,674.10

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Solution

The fourth proportional to 4,752.10, 7,128.15 and 1,674.10 is: 2,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.10 : 7,128.15 = 1,674.10 : x
  2. Step 2: Convert to fraction form
    4,752.10/7,128.15 = 1,674.10/x
  3. Step 3: Cross multiply
    4,752.10x = 7,128.15 × 1,674.10
  4. Step 4: Simplify right side
    4,752.10x = 11,933,235.92
  5. Step 5: Solve for x
    x = 11,933,235.92/4,752.10
  6. Step 6: Final answer
    x = 2,511.15

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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.