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Finding the Fourth Proportional to 5,777.64, 8,658.14 and 4,473

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Solution

The fourth proportional to 5,777.64, 8,658.14 and 4,473 is: 6,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.64 : 8,658.14 = 4,473 : x
  2. Step 2: Convert to fraction form
    5,777.64/8,658.14 = 4,473/x
  3. Step 3: Cross multiply
    5,777.64x = 8,658.14 × 4,473
  4. Step 4: Simplify right side
    5,777.64x = 38,727,860.22
  5. Step 5: Solve for x
    x = 38,727,860.22/5,777.64
  6. Step 6: Final answer
    x = 6,703.06

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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.