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Finding the Fourth Proportional to 3,507.30, 4,830.23 and 3,430.76

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Solution

The fourth proportional to 3,507.30, 4,830.23 and 3,430.76 is: 4,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.30 : 4,830.23 = 3,430.76 : x
  2. Step 2: Convert to fraction form
    3,507.30/4,830.23 = 3,430.76/x
  3. Step 3: Cross multiply
    3,507.30x = 4,830.23 × 3,430.76
  4. Step 4: Simplify right side
    3,507.30x = 16,571,344.30
  5. Step 5: Solve for x
    x = 16,571,344.30/3,507.30
  6. Step 6: Final answer
    x = 4,724.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.