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Finding the Fourth Proportional to 4,678.59, 6,459.09 and 3,731.34

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Solution

The fourth proportional to 4,678.59, 6,459.09 and 3,731.34 is: 5,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.59 : 6,459.09 = 3,731.34 : x
  2. Step 2: Convert to fraction form
    4,678.59/6,459.09 = 3,731.34/x
  3. Step 3: Cross multiply
    4,678.59x = 6,459.09 × 3,731.34
  4. Step 4: Simplify right side
    4,678.59x = 24,101,060.88
  5. Step 5: Solve for x
    x = 24,101,060.88/4,678.59
  6. Step 6: Final answer
    x = 5,151.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.