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Finding the Fourth Proportional to 3,564.61, 4,920.53 and 3,190.93

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Solution

The fourth proportional to 3,564.61, 4,920.53 and 3,190.93 is: 4,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.61 : 4,920.53 = 3,190.93 : x
  2. Step 2: Convert to fraction form
    3,564.61/4,920.53 = 3,190.93/x
  3. Step 3: Cross multiply
    3,564.61x = 4,920.53 × 3,190.93
  4. Step 4: Simplify right side
    3,564.61x = 15,701,038.54
  5. Step 5: Solve for x
    x = 15,701,038.54/3,564.61
  6. Step 6: Final answer
    x = 4,404.70

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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.