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Finding the Fourth Proportional to 7,254.64, 10,881.96 and 3,358

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Solution

The fourth proportional to 7,254.64, 10,881.96 and 3,358 is: 5,037

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.64 : 10,881.96 = 3,358 : x
  2. Step 2: Convert to fraction form
    7,254.64/10,881.96 = 3,358/x
  3. Step 3: Cross multiply
    7,254.64x = 10,881.96 × 3,358
  4. Step 4: Simplify right side
    7,254.64x = 36,541,621.68
  5. Step 5: Solve for x
    x = 36,541,621.68/7,254.64
  6. Step 6: Final answer
    x = 5,037

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.