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Finding the Fourth Proportional to 5,718.34, 7,898.88 and 4,408.48

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Solution

The fourth proportional to 5,718.34, 7,898.88 and 4,408.48 is: 6,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.34 : 7,898.88 = 4,408.48 : x
  2. Step 2: Convert to fraction form
    5,718.34/7,898.88 = 4,408.48/x
  3. Step 3: Cross multiply
    5,718.34x = 7,898.88 × 4,408.48
  4. Step 4: Simplify right side
    5,718.34x = 34,822,054.50
  5. Step 5: Solve for x
    x = 34,822,054.50/5,718.34
  6. Step 6: Final answer
    x = 6,089.54

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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.