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Finding the Fourth Proportional to 4,686.81, 7,030.04 and 1,176.84

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Solution

The fourth proportional to 4,686.81, 7,030.04 and 1,176.84 is: 1,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.81 : 7,030.04 = 1,176.84 : x
  2. Step 2: Convert to fraction form
    4,686.81/7,030.04 = 1,176.84/x
  3. Step 3: Cross multiply
    4,686.81x = 7,030.04 × 1,176.84
  4. Step 4: Simplify right side
    4,686.81x = 8,273,232.27
  5. Step 5: Solve for x
    x = 8,273,232.27/4,686.81
  6. Step 6: Final answer
    x = 1,765.22

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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.