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Finding the Fourth Proportional to 5,130.84, 7,712.31 and 3,387.05

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Solution

The fourth proportional to 5,130.84, 7,712.31 and 3,387.05 is: 5,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.84 : 7,712.31 = 3,387.05 : x
  2. Step 2: Convert to fraction form
    5,130.84/7,712.31 = 3,387.05/x
  3. Step 3: Cross multiply
    5,130.84x = 7,712.31 × 3,387.05
  4. Step 4: Simplify right side
    5,130.84x = 26,121,941.02
  5. Step 5: Solve for x
    x = 26,121,941.02/5,130.84
  6. Step 6: Final answer
    x = 5,091.16

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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.