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Finding the Fourth Proportional to 4,893.20, 7,339.80 and 1,430

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Solution

The fourth proportional to 4,893.20, 7,339.80 and 1,430 is: 2,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.20 : 7,339.80 = 1,430 : x
  2. Step 2: Convert to fraction form
    4,893.20/7,339.80 = 1,430/x
  3. Step 3: Cross multiply
    4,893.20x = 7,339.80 × 1,430
  4. Step 4: Simplify right side
    4,893.20x = 10,495,914
  5. Step 5: Solve for x
    x = 10,495,914/4,893.20
  6. Step 6: Final answer
    x = 2,145

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