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Finding the Fourth Proportional to 5,633.83, 7,774.54 and 3,116.08

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Solution

The fourth proportional to 5,633.83, 7,774.54 and 3,116.08 is: 4,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.83 : 7,774.54 = 3,116.08 : x
  2. Step 2: Convert to fraction form
    5,633.83/7,774.54 = 3,116.08/x
  3. Step 3: Cross multiply
    5,633.83x = 7,774.54 × 3,116.08
  4. Step 4: Simplify right side
    5,633.83x = 24,226,088.60
  5. Step 5: Solve for x
    x = 24,226,088.60/5,633.83
  6. Step 6: Final answer
    x = 4,300.11

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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.