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Finding the Fourth Proportional to 4,741.49, 7,108.13 and 2,547.65

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Solution

The fourth proportional to 4,741.49, 7,108.13 and 2,547.65 is: 3,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.49 : 7,108.13 = 2,547.65 : x
  2. Step 2: Convert to fraction form
    4,741.49/7,108.13 = 2,547.65/x
  3. Step 3: Cross multiply
    4,741.49x = 7,108.13 × 2,547.65
  4. Step 4: Simplify right side
    4,741.49x = 18,109,051.53
  5. Step 5: Solve for x
    x = 18,109,051.53/4,741.49
  6. Step 6: Final answer
    x = 3,819.27

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1.5x scale

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.