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Finding the Fourth Proportional to 3,497.90, 4,827.32 and 1,925.99

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Solution

The fourth proportional to 3,497.90, 4,827.32 and 1,925.99 is: 2,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.90 : 4,827.32 = 1,925.99 : x
  2. Step 2: Convert to fraction form
    3,497.90/4,827.32 = 1,925.99/x
  3. Step 3: Cross multiply
    3,497.90x = 4,827.32 × 1,925.99
  4. Step 4: Simplify right side
    3,497.90x = 9,297,394.18
  5. Step 5: Solve for x
    x = 9,297,394.18/3,497.90
  6. Step 6: Final answer
    x = 2,657.99

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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.