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Finding the Fourth Proportional to 4,362.72, 6,543.36 and 1,284

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Solution

The fourth proportional to 4,362.72, 6,543.36 and 1,284 is: 1,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.72 : 6,543.36 = 1,284 : x
  2. Step 2: Convert to fraction form
    4,362.72/6,543.36 = 1,284/x
  3. Step 3: Cross multiply
    4,362.72x = 6,543.36 × 1,284
  4. Step 4: Simplify right side
    4,362.72x = 8,401,674.24
  5. Step 5: Solve for x
    x = 8,401,674.24/4,362.72
  6. Step 6: Final answer
    x = 1,925.79

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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.