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Finding the Fourth Proportional to 5,246.16, 7,880.04 and 5,071.20

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Solution

The fourth proportional to 5,246.16, 7,880.04 and 5,071.20 is: 7,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.16 : 7,880.04 = 5,071.20 : x
  2. Step 2: Convert to fraction form
    5,246.16/7,880.04 = 5,071.20/x
  3. Step 3: Cross multiply
    5,246.16x = 7,880.04 × 5,071.20
  4. Step 4: Simplify right side
    5,246.16x = 39,961,258.85
  5. Step 5: Solve for x
    x = 39,961,258.85/5,246.16
  6. Step 6: Final answer
    x = 7,617.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.