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Finding the Fourth Proportional to 5,302.60, 7,318.68 and 3,064.16

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Solution

The fourth proportional to 5,302.60, 7,318.68 and 3,064.16 is: 4,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.60 : 7,318.68 = 3,064.16 : x
  2. Step 2: Convert to fraction form
    5,302.60/7,318.68 = 3,064.16/x
  3. Step 3: Cross multiply
    5,302.60x = 7,318.68 × 3,064.16
  4. Step 4: Simplify right side
    5,302.60x = 22,425,606.51
  5. Step 5: Solve for x
    x = 22,425,606.51/5,302.60
  6. Step 6: Final answer
    x = 4,229.17

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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.