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Finding the Fourth Proportional to 4,297.34, 5,931.51 and 3,116.18

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Solution

The fourth proportional to 4,297.34, 5,931.51 and 3,116.18 is: 4,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.34 : 5,931.51 = 3,116.18 : x
  2. Step 2: Convert to fraction form
    4,297.34/5,931.51 = 3,116.18/x
  3. Step 3: Cross multiply
    4,297.34x = 5,931.51 × 3,116.18
  4. Step 4: Simplify right side
    4,297.34x = 18,483,652.83
  5. Step 5: Solve for x
    x = 18,483,652.83/4,297.34
  6. Step 6: Final answer
    x = 4,301.18

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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.