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Finding the Fourth Proportional to 4,969.62, 7,454.27 and 2,045.72

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Solution

The fourth proportional to 4,969.62, 7,454.27 and 2,045.72 is: 3,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.62 : 7,454.27 = 2,045.72 : x
  2. Step 2: Convert to fraction form
    4,969.62/7,454.27 = 2,045.72/x
  3. Step 3: Cross multiply
    4,969.62x = 7,454.27 × 2,045.72
  4. Step 4: Simplify right side
    4,969.62x = 15,249,349.22
  5. Step 5: Solve for x
    x = 15,249,349.22/4,969.62
  6. Step 6: Final answer
    x = 3,068.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.