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Finding the Fourth Proportional to 3,482.61, 4,806.66 and 2,641.83

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Solution

The fourth proportional to 3,482.61, 4,806.66 and 2,641.83 is: 3,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.61 : 4,806.66 = 2,641.83 : x
  2. Step 2: Convert to fraction form
    3,482.61/4,806.66 = 2,641.83/x
  3. Step 3: Cross multiply
    3,482.61x = 4,806.66 × 2,641.83
  4. Step 4: Simplify right side
    3,482.61x = 12,698,378.59
  5. Step 5: Solve for x
    x = 12,698,378.59/3,482.61
  6. Step 6: Final answer
    x = 3,646.22

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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.