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Finding the Fourth Proportional to 5,653.51, 7,802.16 and 3,135.93

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Solution

The fourth proportional to 5,653.51, 7,802.16 and 3,135.93 is: 4,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.51 : 7,802.16 = 3,135.93 : x
  2. Step 2: Convert to fraction form
    5,653.51/7,802.16 = 3,135.93/x
  3. Step 3: Cross multiply
    5,653.51x = 7,802.16 × 3,135.93
  4. Step 4: Simplify right side
    5,653.51x = 24,467,027.61
  5. Step 5: Solve for x
    x = 24,467,027.61/5,653.51
  6. Step 6: Final answer
    x = 4,327.76

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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.