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Finding the Fourth Proportional to 4,710.06, 7,056.47 and 2,206.65

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Solution

The fourth proportional to 4,710.06, 7,056.47 and 2,206.65 is: 3,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.06 : 7,056.47 = 2,206.65 : x
  2. Step 2: Convert to fraction form
    4,710.06/7,056.47 = 2,206.65/x
  3. Step 3: Cross multiply
    4,710.06x = 7,056.47 × 2,206.65
  4. Step 4: Simplify right side
    4,710.06x = 15,571,159.53
  5. Step 5: Solve for x
    x = 15,571,159.53/4,710.06
  6. Step 6: Final answer
    x = 3,305.94

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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.