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Finding the Fourth Proportional to 4,925.28, 7,390.64 and 2,005.64

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Solution

The fourth proportional to 4,925.28, 7,390.64 and 2,005.64 is: 3,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.28 : 7,390.64 = 2,005.64 : x
  2. Step 2: Convert to fraction form
    4,925.28/7,390.64 = 2,005.64/x
  3. Step 3: Cross multiply
    4,925.28x = 7,390.64 × 2,005.64
  4. Step 4: Simplify right side
    4,925.28x = 14,822,963.21
  5. Step 5: Solve for x
    x = 14,822,963.21/4,925.28
  6. Step 6: Final answer
    x = 3,009.57

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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.