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Finding the Fourth Proportional to 5,588.07, 7,711.64 and 3,070.42

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Solution

The fourth proportional to 5,588.07, 7,711.64 and 3,070.42 is: 4,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.07 : 7,711.64 = 3,070.42 : x
  2. Step 2: Convert to fraction form
    5,588.07/7,711.64 = 3,070.42/x
  3. Step 3: Cross multiply
    5,588.07x = 7,711.64 × 3,070.42
  4. Step 4: Simplify right side
    5,588.07x = 23,677,973.69
  5. Step 5: Solve for x
    x = 23,677,973.69/5,588.07
  6. Step 6: Final answer
    x = 4,237.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.