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Finding the Fourth Proportional to 4,673.90, 7,011.59 and 1,752.42

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Solution

The fourth proportional to 4,673.90, 7,011.59 and 1,752.42 is: 2,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.90 : 7,011.59 = 1,752.42 : x
  2. Step 2: Convert to fraction form
    4,673.90/7,011.59 = 1,752.42/x
  3. Step 3: Cross multiply
    4,673.90x = 7,011.59 × 1,752.42
  4. Step 4: Simplify right side
    4,673.90x = 12,287,241.79
  5. Step 5: Solve for x
    x = 12,287,241.79/4,673.90
  6. Step 6: Final answer
    x = 2,628.91

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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.