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Finding the Fourth Proportional to 9,048.90, 13,578.48 and 3,854.64

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Solution

The fourth proportional to 9,048.90, 13,578.48 and 3,854.64 is: 5,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.90 : 13,578.48 = 3,854.64 : x
  2. Step 2: Convert to fraction form
    9,048.90/13,578.48 = 3,854.64/x
  3. Step 3: Cross multiply
    9,048.90x = 13,578.48 × 3,854.64
  4. Step 4: Simplify right side
    9,048.90x = 52,340,152.15
  5. Step 5: Solve for x
    x = 52,340,152.15/9,048.90
  6. Step 6: Final answer
    x = 5,784.15

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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.