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Finding the Fourth Proportional to 3,434.81, 4,740.08 and 1,862.94

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Solution

The fourth proportional to 3,434.81, 4,740.08 and 1,862.94 is: 2,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.81 : 4,740.08 = 1,862.94 : x
  2. Step 2: Convert to fraction form
    3,434.81/4,740.08 = 1,862.94/x
  3. Step 3: Cross multiply
    3,434.81x = 4,740.08 × 1,862.94
  4. Step 4: Simplify right side
    3,434.81x = 8,830,475.32
  5. Step 5: Solve for x
    x = 8,830,475.32/3,434.81
  6. Step 6: Final answer
    x = 2,570.88

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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.