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Finding the Fourth Proportional to 5,302.08, 7,899.84 and 5,004

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Solution

The fourth proportional to 5,302.08, 7,899.84 and 5,004 is: 7,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.08 : 7,899.84 = 5,004 : x
  2. Step 2: Convert to fraction form
    5,302.08/7,899.84 = 5,004/x
  3. Step 3: Cross multiply
    5,302.08x = 7,899.84 × 5,004
  4. Step 4: Simplify right side
    5,302.08x = 39,530,799.36
  5. Step 5: Solve for x
    x = 39,530,799.36/5,302.08
  6. Step 6: Final answer
    x = 7,455.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.