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Finding the Fourth Proportional to 4,689, 6,479.55 and 4,054.77

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Solution

The fourth proportional to 4,689, 6,479.55 and 4,054.77 is: 5,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 6,479.55 = 4,054.77 : x
  2. Step 2: Convert to fraction form
    4,689/6,479.55 = 4,054.77/x
  3. Step 3: Cross multiply
    4,689x = 6,479.55 × 4,054.77
  4. Step 4: Simplify right side
    4,689x = 26,273,084.95
  5. Step 5: Solve for x
    x = 26,273,084.95/4,689
  6. Step 6: Final answer
    x = 5,603.13

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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.