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Finding the Fourth Proportional to 4,669.81, 7,005 and 1,507.57

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Solution

The fourth proportional to 4,669.81, 7,005 and 1,507.57 is: 2,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.81 : 7,005 = 1,507.57 : x
  2. Step 2: Convert to fraction form
    4,669.81/7,005 = 1,507.57/x
  3. Step 3: Cross multiply
    4,669.81x = 7,005 × 1,507.57
  4. Step 4: Simplify right side
    4,669.81x = 10,560,527.85
  5. Step 5: Solve for x
    x = 10,560,527.85/4,669.81
  6. Step 6: Final answer
    x = 2,261.45

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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.