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Finding the Fourth Proportional to 4,574.40, 6,862.08 and 1,977.60

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Solution

The fourth proportional to 4,574.40, 6,862.08 and 1,977.60 is: 2,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.40 : 6,862.08 = 1,977.60 : x
  2. Step 2: Convert to fraction form
    4,574.40/6,862.08 = 1,977.60/x
  3. Step 3: Cross multiply
    4,574.40x = 6,862.08 × 1,977.60
  4. Step 4: Simplify right side
    4,574.40x = 13,570,449.41
  5. Step 5: Solve for x
    x = 13,570,449.41/4,574.40
  6. Step 6: Final answer
    x = 2,966.61

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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.