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Finding the Fourth Proportional to 4,707.66, 6,492.81 and 3,029.25

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Solution

The fourth proportional to 4,707.66, 6,492.81 and 3,029.25 is: 4,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.66 : 6,492.81 = 3,029.25 : x
  2. Step 2: Convert to fraction form
    4,707.66/6,492.81 = 3,029.25/x
  3. Step 3: Cross multiply
    4,707.66x = 6,492.81 × 3,029.25
  4. Step 4: Simplify right side
    4,707.66x = 19,668,344.69
  5. Step 5: Solve for x
    x = 19,668,344.69/4,707.66
  6. Step 6: Final answer
    x = 4,177.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.