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Finding the Fourth Proportional to 5,778.16, 8,013.40 and 5,417.31

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Solution

The fourth proportional to 5,778.16, 8,013.40 and 5,417.31 is: 7,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.16 : 8,013.40 = 5,417.31 : x
  2. Step 2: Convert to fraction form
    5,778.16/8,013.40 = 5,417.31/x
  3. Step 3: Cross multiply
    5,778.16x = 8,013.40 × 5,417.31
  4. Step 4: Simplify right side
    5,778.16x = 43,411,071.95
  5. Step 5: Solve for x
    x = 43,411,071.95/5,778.16
  6. Step 6: Final answer
    x = 7,512.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.