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Finding the Fourth Proportional to 5,656.95, 7,805.16 and 3,298.59

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Solution

The fourth proportional to 5,656.95, 7,805.16 and 3,298.59 is: 4,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.95 : 7,805.16 = 3,298.59 : x
  2. Step 2: Convert to fraction form
    5,656.95/7,805.16 = 3,298.59/x
  3. Step 3: Cross multiply
    5,656.95x = 7,805.16 × 3,298.59
  4. Step 4: Simplify right side
    5,656.95x = 25,746,022.72
  5. Step 5: Solve for x
    x = 25,746,022.72/5,656.95
  6. Step 6: Final answer
    x = 4,551.22

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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.