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Finding the Fourth Proportional to 4,264.52, 6,397.22 and 1,186.52

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Solution

The fourth proportional to 4,264.52, 6,397.22 and 1,186.52 is: 1,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.52 : 6,397.22 = 1,186.52 : x
  2. Step 2: Convert to fraction form
    4,264.52/6,397.22 = 1,186.52/x
  3. Step 3: Cross multiply
    4,264.52x = 6,397.22 × 1,186.52
  4. Step 4: Simplify right side
    4,264.52x = 7,590,429.47
  5. Step 5: Solve for x
    x = 7,590,429.47/4,264.52
  6. Step 6: Final answer
    x = 1,779.90

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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.