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Finding the Fourth Proportional to 5,152, 7,110.48 and 3,162.72

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Solution

The fourth proportional to 5,152, 7,110.48 and 3,162.72 is: 4,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152 : 7,110.48 = 3,162.72 : x
  2. Step 2: Convert to fraction form
    5,152/7,110.48 = 3,162.72/x
  3. Step 3: Cross multiply
    5,152x = 7,110.48 × 3,162.72
  4. Step 4: Simplify right side
    5,152x = 22,488,457.31
  5. Step 5: Solve for x
    x = 22,488,457.31/5,152
  6. Step 6: Final answer
    x = 4,365.00

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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.