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Finding the Fourth Proportional to 4,064.95, 6,095.70 and 1,290.88

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Solution

The fourth proportional to 4,064.95, 6,095.70 and 1,290.88 is: 1,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.95 : 6,095.70 = 1,290.88 : x
  2. Step 2: Convert to fraction form
    4,064.95/6,095.70 = 1,290.88/x
  3. Step 3: Cross multiply
    4,064.95x = 6,095.70 × 1,290.88
  4. Step 4: Simplify right side
    4,064.95x = 7,868,824.84
  5. Step 5: Solve for x
    x = 7,868,824.84/4,064.95
  6. Step 6: Final answer
    x = 1,935.77

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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.