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Finding the Fourth Proportional to 5,632.13, 7,775.06 and 3,746.86

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Solution

The fourth proportional to 5,632.13, 7,775.06 and 3,746.86 is: 5,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.13 : 7,775.06 = 3,746.86 : x
  2. Step 2: Convert to fraction form
    5,632.13/7,775.06 = 3,746.86/x
  3. Step 3: Cross multiply
    5,632.13x = 7,775.06 × 3,746.86
  4. Step 4: Simplify right side
    5,632.13x = 29,132,023.14
  5. Step 5: Solve for x
    x = 29,132,023.14/5,632.13
  6. Step 6: Final answer
    x = 5,172.47

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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.