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Finding the Fourth Proportional to 4,723.17, 7,085.01 and 1,436.02

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Solution

The fourth proportional to 4,723.17, 7,085.01 and 1,436.02 is: 2,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.17 : 7,085.01 = 1,436.02 : x
  2. Step 2: Convert to fraction form
    4,723.17/7,085.01 = 1,436.02/x
  3. Step 3: Cross multiply
    4,723.17x = 7,085.01 × 1,436.02
  4. Step 4: Simplify right side
    4,723.17x = 10,174,216.06
  5. Step 5: Solve for x
    x = 10,174,216.06/4,723.17
  6. Step 6: Final answer
    x = 2,154.11

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Why These Related Problems?

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