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Finding the Fourth Proportional to 3,436.84, 5,150.69 and 3,045.93

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Solution

The fourth proportional to 3,436.84, 5,150.69 and 3,045.93 is: 4,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.84 : 5,150.69 = 3,045.93 : x
  2. Step 2: Convert to fraction form
    3,436.84/5,150.69 = 3,045.93/x
  3. Step 3: Cross multiply
    3,436.84x = 5,150.69 × 3,045.93
  4. Step 4: Simplify right side
    3,436.84x = 15,688,641.19
  5. Step 5: Solve for x
    x = 15,688,641.19/3,436.84
  6. Step 6: Final answer
    x = 4,564.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.