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Finding the Fourth Proportional to 3,152.04, 4,725.96 and 1,765.52

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Solution

The fourth proportional to 3,152.04, 4,725.96 and 1,765.52 is: 2,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.04 : 4,725.96 = 1,765.52 : x
  2. Step 2: Convert to fraction form
    3,152.04/4,725.96 = 1,765.52/x
  3. Step 3: Cross multiply
    3,152.04x = 4,725.96 × 1,765.52
  4. Step 4: Simplify right side
    3,152.04x = 8,343,776.90
  5. Step 5: Solve for x
    x = 8,343,776.90/3,152.04
  6. Step 6: Final answer
    x = 2,647.10

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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.