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Finding the Fourth Proportional to 4,592.04, 6,878.62 and 3,106.60

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Solution

The fourth proportional to 4,592.04, 6,878.62 and 3,106.60 is: 4,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.04 : 6,878.62 = 3,106.60 : x
  2. Step 2: Convert to fraction form
    4,592.04/6,878.62 = 3,106.60/x
  3. Step 3: Cross multiply
    4,592.04x = 6,878.62 × 3,106.60
  4. Step 4: Simplify right side
    4,592.04x = 21,369,120.89
  5. Step 5: Solve for x
    x = 21,369,120.89/4,592.04
  6. Step 6: Final answer
    x = 4,653.51

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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.