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Finding the Fourth Proportional to 5,656.35, 7,805.40 and 3,416.90

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Solution

The fourth proportional to 5,656.35, 7,805.40 and 3,416.90 is: 4,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.35 : 7,805.40 = 3,416.90 : x
  2. Step 2: Convert to fraction form
    5,656.35/7,805.40 = 3,416.90/x
  3. Step 3: Cross multiply
    5,656.35x = 7,805.40 × 3,416.90
  4. Step 4: Simplify right side
    5,656.35x = 26,670,260.29
  5. Step 5: Solve for x
    x = 26,670,260.29/5,656.35
  6. Step 6: Final answer
    x = 4,715.10

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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.