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Finding the Fourth Proportional to 5,114.64, 7,058.16 and 3,018.96

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Solution

The fourth proportional to 5,114.64, 7,058.16 and 3,018.96 is: 4,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.64 : 7,058.16 = 3,018.96 : x
  2. Step 2: Convert to fraction form
    5,114.64/7,058.16 = 3,018.96/x
  3. Step 3: Cross multiply
    5,114.64x = 7,058.16 × 3,018.96
  4. Step 4: Simplify right side
    5,114.64x = 21,308,302.71
  5. Step 5: Solve for x
    x = 21,308,302.71/5,114.64
  6. Step 6: Final answer
    x = 4,166.14

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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.