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Finding the Fourth Proportional to 3,488.72, 4,788.40 and 3,107.12

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Solution

The fourth proportional to 3,488.72, 4,788.40 and 3,107.12 is: 4,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.72 : 4,788.40 = 3,107.12 : x
  2. Step 2: Convert to fraction form
    3,488.72/4,788.40 = 3,107.12/x
  3. Step 3: Cross multiply
    3,488.72x = 4,788.40 × 3,107.12
  4. Step 4: Simplify right side
    3,488.72x = 14,878,133.41
  5. Step 5: Solve for x
    x = 14,878,133.41/3,488.72
  6. Step 6: Final answer
    x = 4,264.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.