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Finding the Fourth Proportional to 4,870.46, 6,721.74 and 2,774.72

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Solution

The fourth proportional to 4,870.46, 6,721.74 and 2,774.72 is: 3,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.46 : 6,721.74 = 2,774.72 : x
  2. Step 2: Convert to fraction form
    4,870.46/6,721.74 = 2,774.72/x
  3. Step 3: Cross multiply
    4,870.46x = 6,721.74 × 2,774.72
  4. Step 4: Simplify right side
    4,870.46x = 18,650,946.41
  5. Step 5: Solve for x
    x = 18,650,946.41/4,870.46
  6. Step 6: Final answer
    x = 3,829.40

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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.