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Finding the Fourth Proportional to 4,893.18, 7,341.30 and 1,430.46

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Solution

The fourth proportional to 4,893.18, 7,341.30 and 1,430.46 is: 2,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.18 : 7,341.30 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    4,893.18/7,341.30 = 1,430.46/x
  3. Step 3: Cross multiply
    4,893.18x = 7,341.30 × 1,430.46
  4. Step 4: Simplify right side
    4,893.18x = 10,501,436.00
  5. Step 5: Solve for x
    x = 10,501,436.00/4,893.18
  6. Step 6: Final answer
    x = 2,146.14

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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.