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Finding the Fourth Proportional to 5,587.85, 7,711.30 and 3,070.02

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Solution

The fourth proportional to 5,587.85, 7,711.30 and 3,070.02 is: 4,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.85 : 7,711.30 = 3,070.02 : x
  2. Step 2: Convert to fraction form
    5,587.85/7,711.30 = 3,070.02/x
  3. Step 3: Cross multiply
    5,587.85x = 7,711.30 × 3,070.02
  4. Step 4: Simplify right side
    5,587.85x = 23,673,845.23
  5. Step 5: Solve for x
    x = 23,673,845.23/5,587.85
  6. Step 6: Final answer
    x = 4,236.66

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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.