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Finding the Fourth Proportional to 4,969.95, 6,854.40 and 2,980.05

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Solution

The fourth proportional to 4,969.95, 6,854.40 and 2,980.05 is: 4,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.95 : 6,854.40 = 2,980.05 : x
  2. Step 2: Convert to fraction form
    4,969.95/6,854.40 = 2,980.05/x
  3. Step 3: Cross multiply
    4,969.95x = 6,854.40 × 2,980.05
  4. Step 4: Simplify right side
    4,969.95x = 20,426,454.72
  5. Step 5: Solve for x
    x = 20,426,454.72/4,969.95
  6. Step 6: Final answer
    x = 4,109.99

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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.