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Finding the Fourth Proportional to 3,140.51, 4,710.76 and 949.12

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Solution

The fourth proportional to 3,140.51, 4,710.76 and 949.12 is: 1,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.51 : 4,710.76 = 949.12 : x
  2. Step 2: Convert to fraction form
    3,140.51/4,710.76 = 949.12/x
  3. Step 3: Cross multiply
    3,140.51x = 4,710.76 × 949.12
  4. Step 4: Simplify right side
    3,140.51x = 4,471,062.38
  5. Step 5: Solve for x
    x = 4,471,062.38/3,140.51
  6. Step 6: Final answer
    x = 1,423.68

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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.