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Finding the Fourth Proportional to 4,952.90, 7,430.14 and 1,620.17

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Solution

The fourth proportional to 4,952.90, 7,430.14 and 1,620.17 is: 2,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.90 : 7,430.14 = 1,620.17 : x
  2. Step 2: Convert to fraction form
    4,952.90/7,430.14 = 1,620.17/x
  3. Step 3: Cross multiply
    4,952.90x = 7,430.14 × 1,620.17
  4. Step 4: Simplify right side
    4,952.90x = 12,038,110.52
  5. Step 5: Solve for x
    x = 12,038,110.52/4,952.90
  6. Step 6: Final answer
    x = 2,430.52

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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.