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Finding the Fourth Proportional to 5,656.51, 7,806.19 and 3,417.95

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Solution

The fourth proportional to 5,656.51, 7,806.19 and 3,417.95 is: 4,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.51 : 7,806.19 = 3,417.95 : x
  2. Step 2: Convert to fraction form
    5,656.51/7,806.19 = 3,417.95/x
  3. Step 3: Cross multiply
    5,656.51x = 7,806.19 × 3,417.95
  4. Step 4: Simplify right side
    5,656.51x = 26,681,178.08
  5. Step 5: Solve for x
    x = 26,681,178.08/5,656.51
  6. Step 6: Final answer
    x = 4,716.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.