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Finding the Fourth Proportional to 3,264.07, 4,895.10 and 923.47

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Solution

The fourth proportional to 3,264.07, 4,895.10 and 923.47 is: 1,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.07 : 4,895.10 = 923.47 : x
  2. Step 2: Convert to fraction form
    3,264.07/4,895.10 = 923.47/x
  3. Step 3: Cross multiply
    3,264.07x = 4,895.10 × 923.47
  4. Step 4: Simplify right side
    3,264.07x = 4,520,478.00
  5. Step 5: Solve for x
    x = 4,520,478.00/3,264.07
  6. Step 6: Final answer
    x = 1,384.92

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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.