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Finding the Fourth Proportional to 5,068.93, 7,603.95 and 1,781.14

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Solution

The fourth proportional to 5,068.93, 7,603.95 and 1,781.14 is: 2,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.93 : 7,603.95 = 1,781.14 : x
  2. Step 2: Convert to fraction form
    5,068.93/7,603.95 = 1,781.14/x
  3. Step 3: Cross multiply
    5,068.93x = 7,603.95 × 1,781.14
  4. Step 4: Simplify right side
    5,068.93x = 13,543,699.50
  5. Step 5: Solve for x
    x = 13,543,699.50/5,068.93
  6. Step 6: Final answer
    x = 2,671.91

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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.