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Finding the Fourth Proportional to 5,068.71, 7,603.02 and 1,605.96

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Solution

The fourth proportional to 5,068.71, 7,603.02 and 1,605.96 is: 2,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.71 : 7,603.02 = 1,605.96 : x
  2. Step 2: Convert to fraction form
    5,068.71/7,603.02 = 1,605.96/x
  3. Step 3: Cross multiply
    5,068.71x = 7,603.02 × 1,605.96
  4. Step 4: Simplify right side
    5,068.71x = 12,210,146.00
  5. Step 5: Solve for x
    x = 12,210,146.00/5,068.71
  6. Step 6: Final answer
    x = 2,408.93

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Why These Related Problems?

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