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Finding the Fourth Proportional to 5,302.03, 7,312.67 and 3,708.16

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Solution

The fourth proportional to 5,302.03, 7,312.67 and 3,708.16 is: 5,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.03 : 7,312.67 = 3,708.16 : x
  2. Step 2: Convert to fraction form
    5,302.03/7,312.67 = 3,708.16/x
  3. Step 3: Cross multiply
    5,302.03x = 7,312.67 × 3,708.16
  4. Step 4: Simplify right side
    5,302.03x = 27,116,550.39
  5. Step 5: Solve for x
    x = 27,116,550.39/5,302.03
  6. Step 6: Final answer
    x = 5,114.37

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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.