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Finding the Fourth Proportional to 4,977.64, 6,866.85 and 2,984.74

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Solution

The fourth proportional to 4,977.64, 6,866.85 and 2,984.74 is: 4,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.64 : 6,866.85 = 2,984.74 : x
  2. Step 2: Convert to fraction form
    4,977.64/6,866.85 = 2,984.74/x
  3. Step 3: Cross multiply
    4,977.64x = 6,866.85 × 2,984.74
  4. Step 4: Simplify right side
    4,977.64x = 20,495,746.95
  5. Step 5: Solve for x
    x = 20,495,746.95/4,977.64
  6. Step 6: Final answer
    x = 4,117.56

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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.