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Finding the Fourth Proportional to 4,287.60, 5,907.60 and 3,445.20

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Solution

The fourth proportional to 4,287.60, 5,907.60 and 3,445.20 is: 4,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.60 : 5,907.60 = 3,445.20 : x
  2. Step 2: Convert to fraction form
    4,287.60/5,907.60 = 3,445.20/x
  3. Step 3: Cross multiply
    4,287.60x = 5,907.60 × 3,445.20
  4. Step 4: Simplify right side
    4,287.60x = 20,352,863.52
  5. Step 5: Solve for x
    x = 20,352,863.52/4,287.60
  6. Step 6: Final answer
    x = 4,746.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.