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Finding the Fourth Proportional to 4,492, 6,194.90 and 3,535.32

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Solution

The fourth proportional to 4,492, 6,194.90 and 3,535.32 is: 4,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492 : 6,194.90 = 3,535.32 : x
  2. Step 2: Convert to fraction form
    4,492/6,194.90 = 3,535.32/x
  3. Step 3: Cross multiply
    4,492x = 6,194.90 × 3,535.32
  4. Step 4: Simplify right side
    4,492x = 21,900,953.87
  5. Step 5: Solve for x
    x = 21,900,953.87/4,492
  6. Step 6: Final answer
    x = 4,875.55

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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.