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Finding the Fourth Proportional to 5,656.95, 7,806.96 and 3,418.74

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Solution

The fourth proportional to 5,656.95, 7,806.96 and 3,418.74 is: 4,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.95 : 7,806.96 = 3,418.74 : x
  2. Step 2: Convert to fraction form
    5,656.95/7,806.96 = 3,418.74/x
  3. Step 3: Cross multiply
    5,656.95x = 7,806.96 × 3,418.74
  4. Step 4: Simplify right side
    5,656.95x = 26,689,966.43
  5. Step 5: Solve for x
    x = 26,689,966.43/5,656.95
  6. Step 6: Final answer
    x = 4,718.08

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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.