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Finding the Fourth Proportional to 5,114.02, 7,058.02 and 3,124.16

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Solution

The fourth proportional to 5,114.02, 7,058.02 and 3,124.16 is: 4,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.02 : 7,058.02 = 3,124.16 : x
  2. Step 2: Convert to fraction form
    5,114.02/7,058.02 = 3,124.16/x
  3. Step 3: Cross multiply
    5,114.02x = 7,058.02 × 3,124.16
  4. Step 4: Simplify right side
    5,114.02x = 22,050,383.76
  5. Step 5: Solve for x
    x = 22,050,383.76/5,114.02
  6. Step 6: Final answer
    x = 4,311.75

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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.