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Finding the Fourth Proportional to 8,788.64, 13,184.94 and 2,945.10

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Solution

The fourth proportional to 8,788.64, 13,184.94 and 2,945.10 is: 4,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,788.64 : 13,184.94 = 2,945.10 : x
  2. Step 2: Convert to fraction form
    8,788.64/13,184.94 = 2,945.10/x
  3. Step 3: Cross multiply
    8,788.64x = 13,184.94 × 2,945.10
  4. Step 4: Simplify right side
    8,788.64x = 38,830,952.07
  5. Step 5: Solve for x
    x = 38,830,952.07/8,788.64
  6. Step 6: Final answer
    x = 4,418.31

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Why These Related Problems?

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