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Finding the Fourth Proportional to 4,159.59, 5,737.82 and 2,980.95

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Solution

The fourth proportional to 4,159.59, 5,737.82 and 2,980.95 is: 4,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.59 : 5,737.82 = 2,980.95 : x
  2. Step 2: Convert to fraction form
    4,159.59/5,737.82 = 2,980.95/x
  3. Step 3: Cross multiply
    4,159.59x = 5,737.82 × 2,980.95
  4. Step 4: Simplify right side
    4,159.59x = 17,104,139.62
  5. Step 5: Solve for x
    x = 17,104,139.62/4,159.59
  6. Step 6: Final answer
    x = 4,111.98

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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.