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Finding the Fourth Proportional to 3,465.12, 4,781.76 and 1,973.04

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Solution

The fourth proportional to 3,465.12, 4,781.76 and 1,973.04 is: 2,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.12 : 4,781.76 = 1,973.04 : x
  2. Step 2: Convert to fraction form
    3,465.12/4,781.76 = 1,973.04/x
  3. Step 3: Cross multiply
    3,465.12x = 4,781.76 × 1,973.04
  4. Step 4: Simplify right side
    3,465.12x = 9,434,603.75
  5. Step 5: Solve for x
    x = 9,434,603.75/3,465.12
  6. Step 6: Final answer
    x = 2,722.74

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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.