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Finding the Fourth Proportional to 5,690.25, 7,852.65 and 3,332.34

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Solution

The fourth proportional to 5,690.25, 7,852.65 and 3,332.34 is: 4,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.25 : 7,852.65 = 3,332.34 : x
  2. Step 2: Convert to fraction form
    5,690.25/7,852.65 = 3,332.34/x
  3. Step 3: Cross multiply
    5,690.25x = 7,852.65 × 3,332.34
  4. Step 4: Simplify right side
    5,690.25x = 26,167,687.20
  5. Step 5: Solve for x
    x = 26,167,687.20/5,690.25
  6. Step 6: Final answer
    x = 4,598.69

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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.