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Finding the Fourth Proportional to 4,641.63, 6,405.44 and 2,545.75

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Solution

The fourth proportional to 4,641.63, 6,405.44 and 2,545.75 is: 3,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.63 : 6,405.44 = 2,545.75 : x
  2. Step 2: Convert to fraction form
    4,641.63/6,405.44 = 2,545.75/x
  3. Step 3: Cross multiply
    4,641.63x = 6,405.44 × 2,545.75
  4. Step 4: Simplify right side
    4,641.63x = 16,306,648.88
  5. Step 5: Solve for x
    x = 16,306,648.88/4,641.63
  6. Step 6: Final answer
    x = 3,513.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.