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Finding the Fourth Proportional to 5,801.06, 8,710.48 and 5,113.53

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Solution

The fourth proportional to 5,801.06, 8,710.48 and 5,113.53 is: 7,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.06 : 8,710.48 = 5,113.53 : x
  2. Step 2: Convert to fraction form
    5,801.06/8,710.48 = 5,113.53/x
  3. Step 3: Cross multiply
    5,801.06x = 8,710.48 × 5,113.53
  4. Step 4: Simplify right side
    5,801.06x = 44,541,257.24
  5. Step 5: Solve for x
    x = 44,541,257.24/5,801.06
  6. Step 6: Final answer
    x = 7,678.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.