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Finding the Fourth Proportional to 3,285.08, 4,925.78 and 1,335

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Solution

The fourth proportional to 3,285.08, 4,925.78 and 1,335 is: 2,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.08 : 4,925.78 = 1,335 : x
  2. Step 2: Convert to fraction form
    3,285.08/4,925.78 = 1,335/x
  3. Step 3: Cross multiply
    3,285.08x = 4,925.78 × 1,335
  4. Step 4: Simplify right side
    3,285.08x = 6,575,916.30
  5. Step 5: Solve for x
    x = 6,575,916.30/3,285.08
  6. Step 6: Final answer
    x = 2,001.75

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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.