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Finding the Fourth Proportional to 5,135.67, 7,701.48 and 1,802.93

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Solution

The fourth proportional to 5,135.67, 7,701.48 and 1,802.93 is: 2,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.67 : 7,701.48 = 1,802.93 : x
  2. Step 2: Convert to fraction form
    5,135.67/7,701.48 = 1,802.93/x
  3. Step 3: Cross multiply
    5,135.67x = 7,701.48 × 1,802.93
  4. Step 4: Simplify right side
    5,135.67x = 13,885,190.83
  5. Step 5: Solve for x
    x = 13,885,190.83/5,135.67
  6. Step 6: Final answer
    x = 2,703.68

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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.