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Finding the Fourth Proportional to 5,152.51, 7,725.85 and 1,641.90

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Solution

The fourth proportional to 5,152.51, 7,725.85 and 1,641.90 is: 2,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.51 : 7,725.85 = 1,641.90 : x
  2. Step 2: Convert to fraction form
    5,152.51/7,725.85 = 1,641.90/x
  3. Step 3: Cross multiply
    5,152.51x = 7,725.85 × 1,641.90
  4. Step 4: Simplify right side
    5,152.51x = 12,685,073.12
  5. Step 5: Solve for x
    x = 12,685,073.12/5,152.51
  6. Step 6: Final answer
    x = 2,461.92

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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.