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Finding the Fourth Proportional to 3,973.68, 5,482.86 and 2,295.06

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Solution

The fourth proportional to 3,973.68, 5,482.86 and 2,295.06 is: 3,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.68 : 5,482.86 = 2,295.06 : x
  2. Step 2: Convert to fraction form
    3,973.68/5,482.86 = 2,295.06/x
  3. Step 3: Cross multiply
    3,973.68x = 5,482.86 × 2,295.06
  4. Step 4: Simplify right side
    3,973.68x = 12,583,492.67
  5. Step 5: Solve for x
    x = 12,583,492.67/3,973.68
  6. Step 6: Final answer
    x = 3,166.71

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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.