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Finding the Fourth Proportional to 4,384.89, 6,577.74 and 1,264.86

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Solution

The fourth proportional to 4,384.89, 6,577.74 and 1,264.86 is: 1,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.89 : 6,577.74 = 1,264.86 : x
  2. Step 2: Convert to fraction form
    4,384.89/6,577.74 = 1,264.86/x
  3. Step 3: Cross multiply
    4,384.89x = 6,577.74 × 1,264.86
  4. Step 4: Simplify right side
    4,384.89x = 8,319,920.22
  5. Step 5: Solve for x
    x = 8,319,920.22/4,384.89
  6. Step 6: Final answer
    x = 1,897.41

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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.