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Finding the Fourth Proportional to 5,631.99, 7,774.86 and 3,746.71

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Solution

The fourth proportional to 5,631.99, 7,774.86 and 3,746.71 is: 5,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.99 : 7,774.86 = 3,746.71 : x
  2. Step 2: Convert to fraction form
    5,631.99/7,774.86 = 3,746.71/x
  3. Step 3: Cross multiply
    5,631.99x = 7,774.86 × 3,746.71
  4. Step 4: Simplify right side
    5,631.99x = 29,130,145.71
  5. Step 5: Solve for x
    x = 29,130,145.71/5,631.99
  6. Step 6: Final answer
    x = 5,172.27

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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.