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Finding the Fourth Proportional to 4,710.47, 7,066.94 and 1,423.65

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Solution

The fourth proportional to 4,710.47, 7,066.94 and 1,423.65 is: 2,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.47 : 7,066.94 = 1,423.65 : x
  2. Step 2: Convert to fraction form
    4,710.47/7,066.94 = 1,423.65/x
  3. Step 3: Cross multiply
    4,710.47x = 7,066.94 × 1,423.65
  4. Step 4: Simplify right side
    4,710.47x = 10,060,842.01
  5. Step 5: Solve for x
    x = 10,060,842.01/4,710.47
  6. Step 6: Final answer
    x = 2,135.85

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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.