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Finding the Fourth Proportional to 3,435.85, 4,738.54 and 2,641.10

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Solution

The fourth proportional to 3,435.85, 4,738.54 and 2,641.10 is: 3,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.85 : 4,738.54 = 2,641.10 : x
  2. Step 2: Convert to fraction form
    3,435.85/4,738.54 = 2,641.10/x
  3. Step 3: Cross multiply
    3,435.85x = 4,738.54 × 2,641.10
  4. Step 4: Simplify right side
    3,435.85x = 12,514,934.30
  5. Step 5: Solve for x
    x = 12,514,934.30/3,435.85
  6. Step 6: Final answer
    x = 3,642.46

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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.