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Finding the Fourth Proportional to 5,587.59, 7,710.93 and 3,069.66

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Solution

The fourth proportional to 5,587.59, 7,710.93 and 3,069.66 is: 4,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.59 : 7,710.93 = 3,069.66 : x
  2. Step 2: Convert to fraction form
    5,587.59/7,710.93 = 3,069.66/x
  3. Step 3: Cross multiply
    5,587.59x = 7,710.93 × 3,069.66
  4. Step 4: Simplify right side
    5,587.59x = 23,669,933.38
  5. Step 5: Solve for x
    x = 23,669,933.38/5,587.59
  6. Step 6: Final answer
    x = 4,236.16

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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.