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Finding the Fourth Proportional to 3,703.78, 5,109.78 and 2,445.40

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Solution

The fourth proportional to 3,703.78, 5,109.78 and 2,445.40 is: 3,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.78 : 5,109.78 = 2,445.40 : x
  2. Step 2: Convert to fraction form
    3,703.78/5,109.78 = 2,445.40/x
  3. Step 3: Cross multiply
    3,703.78x = 5,109.78 × 2,445.40
  4. Step 4: Simplify right side
    3,703.78x = 12,495,456.01
  5. Step 5: Solve for x
    x = 12,495,456.01/3,703.78
  6. Step 6: Final answer
    x = 3,373.70

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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.