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Finding the Fourth Proportional to 4,341.78, 6,513.93 and 1,744.56

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Solution

The fourth proportional to 4,341.78, 6,513.93 and 1,744.56 is: 2,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.78 : 6,513.93 = 1,744.56 : x
  2. Step 2: Convert to fraction form
    4,341.78/6,513.93 = 1,744.56/x
  3. Step 3: Cross multiply
    4,341.78x = 6,513.93 × 1,744.56
  4. Step 4: Simplify right side
    4,341.78x = 11,363,941.72
  5. Step 5: Solve for x
    x = 11,363,941.72/4,341.78
  6. Step 6: Final answer
    x = 2,617.35

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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.