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Finding the Fourth Proportional to 5,507, 7,600.02 and 3,023

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Solution

The fourth proportional to 5,507, 7,600.02 and 3,023 is: 4,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507 : 7,600.02 = 3,023 : x
  2. Step 2: Convert to fraction form
    5,507/7,600.02 = 3,023/x
  3. Step 3: Cross multiply
    5,507x = 7,600.02 × 3,023
  4. Step 4: Simplify right side
    5,507x = 22,974,860.46
  5. Step 5: Solve for x
    x = 22,974,860.46/5,507
  6. Step 6: Final answer
    x = 4,171.94

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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.