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Finding the Fourth Proportional to 4,756.92, 7,135.68 and 1,470.06

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Solution

The fourth proportional to 4,756.92, 7,135.68 and 1,470.06 is: 2,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.92 : 7,135.68 = 1,470.06 : x
  2. Step 2: Convert to fraction form
    4,756.92/7,135.68 = 1,470.06/x
  3. Step 3: Cross multiply
    4,756.92x = 7,135.68 × 1,470.06
  4. Step 4: Simplify right side
    4,756.92x = 10,489,877.74
  5. Step 5: Solve for x
    x = 10,489,877.74/4,756.92
  6. Step 6: Final answer
    x = 2,205.18

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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.