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Finding the Fourth Proportional to 4,674.57, 7,010.67 and 1,386.90

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Solution

The fourth proportional to 4,674.57, 7,010.67 and 1,386.90 is: 2,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.57 : 7,010.67 = 1,386.90 : x
  2. Step 2: Convert to fraction form
    4,674.57/7,010.67 = 1,386.90/x
  3. Step 3: Cross multiply
    4,674.57x = 7,010.67 × 1,386.90
  4. Step 4: Simplify right side
    4,674.57x = 9,723,098.22
  5. Step 5: Solve for x
    x = 9,723,098.22/4,674.57
  6. Step 6: Final answer
    x = 2,080.00

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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.