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Finding the Fourth Proportional to 5,298.02, 7,309.09 and 3,058.32

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Solution

The fourth proportional to 5,298.02, 7,309.09 and 3,058.32 is: 4,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.02 : 7,309.09 = 3,058.32 : x
  2. Step 2: Convert to fraction form
    5,298.02/7,309.09 = 3,058.32/x
  3. Step 3: Cross multiply
    5,298.02x = 7,309.09 × 3,058.32
  4. Step 4: Simplify right side
    5,298.02x = 22,353,488.49
  5. Step 5: Solve for x
    x = 22,353,488.49/5,298.02
  6. Step 6: Final answer
    x = 4,219.21

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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.