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Finding the Fourth Proportional to 5,088.52, 7,633.24 and 1,390.77

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Solution

The fourth proportional to 5,088.52, 7,633.24 and 1,390.77 is: 2,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.52 : 7,633.24 = 1,390.77 : x
  2. Step 2: Convert to fraction form
    5,088.52/7,633.24 = 1,390.77/x
  3. Step 3: Cross multiply
    5,088.52x = 7,633.24 × 1,390.77
  4. Step 4: Simplify right side
    5,088.52x = 10,616,077.72
  5. Step 5: Solve for x
    x = 10,616,077.72/5,088.52
  6. Step 6: Final answer
    x = 2,086.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.