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Finding the Fourth Proportional to 4,599.06, 6,894.95 and 3,138.63

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Solution

The fourth proportional to 4,599.06, 6,894.95 and 3,138.63 is: 4,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.06 : 6,894.95 = 3,138.63 : x
  2. Step 2: Convert to fraction form
    4,599.06/6,894.95 = 3,138.63/x
  3. Step 3: Cross multiply
    4,599.06x = 6,894.95 × 3,138.63
  4. Step 4: Simplify right side
    4,599.06x = 21,640,681.23
  5. Step 5: Solve for x
    x = 21,640,681.23/4,599.06
  6. Step 6: Final answer
    x = 4,705.46

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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.