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Finding the Fourth Proportional to 5,088.55, 7,633.41 and 1,802.02

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Solution

The fourth proportional to 5,088.55, 7,633.41 and 1,802.02 is: 2,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.55 : 7,633.41 = 1,802.02 : x
  2. Step 2: Convert to fraction form
    5,088.55/7,633.41 = 1,802.02/x
  3. Step 3: Cross multiply
    5,088.55x = 7,633.41 × 1,802.02
  4. Step 4: Simplify right side
    5,088.55x = 13,755,557.49
  5. Step 5: Solve for x
    x = 13,755,557.49/5,088.55
  6. Step 6: Final answer
    x = 2,703.24

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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.