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Finding the Fourth Proportional to 4,707.64, 7,061.16 and 1,589.20

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Solution

The fourth proportional to 4,707.64, 7,061.16 and 1,589.20 is: 2,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.64 : 7,061.16 = 1,589.20 : x
  2. Step 2: Convert to fraction form
    4,707.64/7,061.16 = 1,589.20/x
  3. Step 3: Cross multiply
    4,707.64x = 7,061.16 × 1,589.20
  4. Step 4: Simplify right side
    4,707.64x = 11,221,595.47
  5. Step 5: Solve for x
    x = 11,221,595.47/4,707.64
  6. Step 6: Final answer
    x = 2,383.70

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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.