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Finding the Fourth Proportional to 3,857.51, 5,325.65 and 2,533.53

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Solution

The fourth proportional to 3,857.51, 5,325.65 and 2,533.53 is: 3,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.51 : 5,325.65 = 2,533.53 : x
  2. Step 2: Convert to fraction form
    3,857.51/5,325.65 = 2,533.53/x
  3. Step 3: Cross multiply
    3,857.51x = 5,325.65 × 2,533.53
  4. Step 4: Simplify right side
    3,857.51x = 13,492,681.38
  5. Step 5: Solve for x
    x = 13,492,681.38/3,857.51
  6. Step 6: Final answer
    x = 3,497.77

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Why These Related Problems?

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