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Finding the Fourth Proportional to 3,500.40, 4,830.78 and 1,928.50

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Solution

The fourth proportional to 3,500.40, 4,830.78 and 1,928.50 is: 2,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.40 : 4,830.78 = 1,928.50 : x
  2. Step 2: Convert to fraction form
    3,500.40/4,830.78 = 1,928.50/x
  3. Step 3: Cross multiply
    3,500.40x = 4,830.78 × 1,928.50
  4. Step 4: Simplify right side
    3,500.40x = 9,316,159.23
  5. Step 5: Solve for x
    x = 9,316,159.23/3,500.40
  6. Step 6: Final answer
    x = 2,661.46

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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.