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Finding the Fourth Proportional to 5,547.64, 7,654.47 and 3,189.34

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Solution

The fourth proportional to 5,547.64, 7,654.47 and 3,189.34 is: 4,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.64 : 7,654.47 = 3,189.34 : x
  2. Step 2: Convert to fraction form
    5,547.64/7,654.47 = 3,189.34/x
  3. Step 3: Cross multiply
    5,547.64x = 7,654.47 × 3,189.34
  4. Step 4: Simplify right side
    5,547.64x = 24,412,707.35
  5. Step 5: Solve for x
    x = 24,412,707.35/5,547.64
  6. Step 6: Final answer
    x = 4,400.56

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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.