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Finding the Fourth Proportional to 4,605.60, 6,913.80 and 4,573.20

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Solution

The fourth proportional to 4,605.60, 6,913.80 and 4,573.20 is: 6,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.60 : 6,913.80 = 4,573.20 : x
  2. Step 2: Convert to fraction form
    4,605.60/6,913.80 = 4,573.20/x
  3. Step 3: Cross multiply
    4,605.60x = 6,913.80 × 4,573.20
  4. Step 4: Simplify right side
    4,605.60x = 31,618,190.16
  5. Step 5: Solve for x
    x = 31,618,190.16/4,605.60
  6. Step 6: Final answer
    x = 6,865.16

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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.