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Finding the Fourth Proportional to 3,130.32, 4,700.34 and 2,991.81

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Solution

The fourth proportional to 3,130.32, 4,700.34 and 2,991.81 is: 4,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.32 : 4,700.34 = 2,991.81 : x
  2. Step 2: Convert to fraction form
    3,130.32/4,700.34 = 2,991.81/x
  3. Step 3: Cross multiply
    3,130.32x = 4,700.34 × 2,991.81
  4. Step 4: Simplify right side
    3,130.32x = 14,062,524.22
  5. Step 5: Solve for x
    x = 14,062,524.22/3,130.32
  6. Step 6: Final answer
    x = 4,492.36

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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.