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Finding the Fourth Proportional to 4,593.60, 6,904.80 and 4,507.20

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Solution

The fourth proportional to 4,593.60, 6,904.80 and 4,507.20 is: 6,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.60 : 6,904.80 = 4,507.20 : x
  2. Step 2: Convert to fraction form
    4,593.60/6,904.80 = 4,507.20/x
  3. Step 3: Cross multiply
    4,593.60x = 6,904.80 × 4,507.20
  4. Step 4: Simplify right side
    4,593.60x = 31,121,314.56
  5. Step 5: Solve for x
    x = 31,121,314.56/4,593.60
  6. Step 6: Final answer
    x = 6,774.93

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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.