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Finding the Fourth Proportional to 4,580.04, 6,870.22 and 3,880.20

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Solution

The fourth proportional to 4,580.04, 6,870.22 and 3,880.20 is: 5,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.04 : 6,870.22 = 3,880.20 : x
  2. Step 2: Convert to fraction form
    4,580.04/6,870.22 = 3,880.20/x
  3. Step 3: Cross multiply
    4,580.04x = 6,870.22 × 3,880.20
  4. Step 4: Simplify right side
    4,580.04x = 26,657,827.64
  5. Step 5: Solve for x
    x = 26,657,827.64/4,580.04
  6. Step 6: Final answer
    x = 5,820.44

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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.