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Finding the Fourth Proportional to 4,977.80, 7,465.88 and 1,856.99

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Solution

The fourth proportional to 4,977.80, 7,465.88 and 1,856.99 is: 2,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.80 : 7,465.88 = 1,856.99 : x
  2. Step 2: Convert to fraction form
    4,977.80/7,465.88 = 1,856.99/x
  3. Step 3: Cross multiply
    4,977.80x = 7,465.88 × 1,856.99
  4. Step 4: Simplify right side
    4,977.80x = 13,864,064.50
  5. Step 5: Solve for x
    x = 13,864,064.50/4,977.80
  6. Step 6: Final answer
    x = 2,785.18

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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.