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Finding the Fourth Proportional to 5,730.60, 7,907.76 and 3,372.40

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Solution

The fourth proportional to 5,730.60, 7,907.76 and 3,372.40 is: 4,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.60 : 7,907.76 = 3,372.40 : x
  2. Step 2: Convert to fraction form
    5,730.60/7,907.76 = 3,372.40/x
  3. Step 3: Cross multiply
    5,730.60x = 7,907.76 × 3,372.40
  4. Step 4: Simplify right side
    5,730.60x = 26,668,129.82
  5. Step 5: Solve for x
    x = 26,668,129.82/5,730.60
  6. Step 6: Final answer
    x = 4,653.64

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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.