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Finding the Fourth Proportional to 4,801.60, 7,199.52 and 1,876.42

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Solution

The fourth proportional to 4,801.60, 7,199.52 and 1,876.42 is: 2,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.60 : 7,199.52 = 1,876.42 : x
  2. Step 2: Convert to fraction form
    4,801.60/7,199.52 = 1,876.42/x
  3. Step 3: Cross multiply
    4,801.60x = 7,199.52 × 1,876.42
  4. Step 4: Simplify right side
    4,801.60x = 13,509,323.32
  5. Step 5: Solve for x
    x = 13,509,323.32/4,801.60
  6. Step 6: Final answer
    x = 2,813.50

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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.