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Finding the Fourth Proportional to 3,152.64, 4,727.28 and 3,018

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Solution

The fourth proportional to 3,152.64, 4,727.28 and 3,018 is: 4,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.64 : 4,727.28 = 3,018 : x
  2. Step 2: Convert to fraction form
    3,152.64/4,727.28 = 3,018/x
  3. Step 3: Cross multiply
    3,152.64x = 4,727.28 × 3,018
  4. Step 4: Simplify right side
    3,152.64x = 14,266,931.04
  5. Step 5: Solve for x
    x = 14,266,931.04/3,152.64
  6. Step 6: Final answer
    x = 4,525.39

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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.