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Finding the Fourth Proportional to 5,234.48, 7,854.20 and 1,774.16

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Solution

The fourth proportional to 5,234.48, 7,854.20 and 1,774.16 is: 2,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.48 : 7,854.20 = 1,774.16 : x
  2. Step 2: Convert to fraction form
    5,234.48/7,854.20 = 1,774.16/x
  3. Step 3: Cross multiply
    5,234.48x = 7,854.20 × 1,774.16
  4. Step 4: Simplify right side
    5,234.48x = 13,934,607.47
  5. Step 5: Solve for x
    x = 13,934,607.47/5,234.48
  6. Step 6: Final answer
    x = 2,662.08

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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.