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Finding the Fourth Proportional to 5,193.16, 7,130.32 and 5,057.84

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Solution

The fourth proportional to 5,193.16, 7,130.32 and 5,057.84 is: 6,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.16 : 7,130.32 = 5,057.84 : x
  2. Step 2: Convert to fraction form
    5,193.16/7,130.32 = 5,057.84/x
  3. Step 3: Cross multiply
    5,193.16x = 7,130.32 × 5,057.84
  4. Step 4: Simplify right side
    5,193.16x = 36,064,017.71
  5. Step 5: Solve for x
    x = 36,064,017.71/5,193.16
  6. Step 6: Final answer
    x = 6,944.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.