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Finding the Fourth Proportional to 4,875.10, 7,313.10 and 1,952.80

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Solution

The fourth proportional to 4,875.10, 7,313.10 and 1,952.80 is: 2,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.10 : 7,313.10 = 1,952.80 : x
  2. Step 2: Convert to fraction form
    4,875.10/7,313.10 = 1,952.80/x
  3. Step 3: Cross multiply
    4,875.10x = 7,313.10 × 1,952.80
  4. Step 4: Simplify right side
    4,875.10x = 14,281,021.68
  5. Step 5: Solve for x
    x = 14,281,021.68/4,875.10
  6. Step 6: Final answer
    x = 2,929.38

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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.