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Finding the Fourth Proportional to 5,302.94, 7,333.93 and 4,638.63

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Solution

The fourth proportional to 5,302.94, 7,333.93 and 4,638.63 is: 6,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.94 : 7,333.93 = 4,638.63 : x
  2. Step 2: Convert to fraction form
    5,302.94/7,333.93 = 4,638.63/x
  3. Step 3: Cross multiply
    5,302.94x = 7,333.93 × 4,638.63
  4. Step 4: Simplify right side
    5,302.94x = 34,019,387.72
  5. Step 5: Solve for x
    x = 34,019,387.72/5,302.94
  6. Step 6: Final answer
    x = 6,415.19

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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.