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Finding the Fourth Proportional to 5,066.31, 7,599.50 and 1,603.56

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Solution

The fourth proportional to 5,066.31, 7,599.50 and 1,603.56 is: 2,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.31 : 7,599.50 = 1,603.56 : x
  2. Step 2: Convert to fraction form
    5,066.31/7,599.50 = 1,603.56/x
  3. Step 3: Cross multiply
    5,066.31x = 7,599.50 × 1,603.56
  4. Step 4: Simplify right side
    5,066.31x = 12,186,254.22
  5. Step 5: Solve for x
    x = 12,186,254.22/5,066.31
  6. Step 6: Final answer
    x = 2,405.35

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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.