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Finding the Fourth Proportional to 3,390.14, 5,085.48 and 924.98

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Solution

The fourth proportional to 3,390.14, 5,085.48 and 924.98 is: 1,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.14 : 5,085.48 = 924.98 : x
  2. Step 2: Convert to fraction form
    3,390.14/5,085.48 = 924.98/x
  3. Step 3: Cross multiply
    3,390.14x = 5,085.48 × 924.98
  4. Step 4: Simplify right side
    3,390.14x = 4,703,941.86
  5. Step 5: Solve for x
    x = 4,703,941.86/3,390.14
  6. Step 6: Final answer
    x = 1,387.54

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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.