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Finding the Fourth Proportional to 3,886.52, 5,830.58 and 1,578.02

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Solution

The fourth proportional to 3,886.52, 5,830.58 and 1,578.02 is: 2,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.52 : 5,830.58 = 1,578.02 : x
  2. Step 2: Convert to fraction form
    3,886.52/5,830.58 = 1,578.02/x
  3. Step 3: Cross multiply
    3,886.52x = 5,830.58 × 1,578.02
  4. Step 4: Simplify right side
    3,886.52x = 9,200,746.64
  5. Step 5: Solve for x
    x = 9,200,746.64/3,886.52
  6. Step 6: Final answer
    x = 2,367.35

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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.