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Finding the Fourth Proportional to 5,588.59, 7,712.31 and 3,070.66

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Solution

The fourth proportional to 5,588.59, 7,712.31 and 3,070.66 is: 4,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.59 : 7,712.31 = 3,070.66 : x
  2. Step 2: Convert to fraction form
    5,588.59/7,712.31 = 3,070.66/x
  3. Step 3: Cross multiply
    5,588.59x = 7,712.31 × 3,070.66
  4. Step 4: Simplify right side
    5,588.59x = 23,681,881.82
  5. Step 5: Solve for x
    x = 23,681,881.82/5,588.59
  6. Step 6: Final answer
    x = 4,237.54

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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.