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Finding the Fourth Proportional to 5,193.51, 7,792.98 and 3,117.69

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Solution

The fourth proportional to 5,193.51, 7,792.98 and 3,117.69 is: 4,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.51 : 7,792.98 = 3,117.69 : x
  2. Step 2: Convert to fraction form
    5,193.51/7,792.98 = 3,117.69/x
  3. Step 3: Cross multiply
    5,193.51x = 7,792.98 × 3,117.69
  4. Step 4: Simplify right side
    5,193.51x = 24,296,095.82
  5. Step 5: Solve for x
    x = 24,296,095.82/5,193.51
  6. Step 6: Final answer
    x = 4,678.16

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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.