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Finding the Fourth Proportional to 3,840.16, 5,756.92 and 1,530.16

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Solution

The fourth proportional to 3,840.16, 5,756.92 and 1,530.16 is: 2,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.16 : 5,756.92 = 1,530.16 : x
  2. Step 2: Convert to fraction form
    3,840.16/5,756.92 = 1,530.16/x
  3. Step 3: Cross multiply
    3,840.16x = 5,756.92 × 1,530.16
  4. Step 4: Simplify right side
    3,840.16x = 8,809,008.71
  5. Step 5: Solve for x
    x = 8,809,008.71/3,840.16
  6. Step 6: Final answer
    x = 2,293.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.