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Finding the Fourth Proportional to 3,503.95, 5,257.02 and 1,038.78

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Solution

The fourth proportional to 3,503.95, 5,257.02 and 1,038.78 is: 1,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.95 : 5,257.02 = 1,038.78 : x
  2. Step 2: Convert to fraction form
    3,503.95/5,257.02 = 1,038.78/x
  3. Step 3: Cross multiply
    3,503.95x = 5,257.02 × 1,038.78
  4. Step 4: Simplify right side
    3,503.95x = 5,460,887.24
  5. Step 5: Solve for x
    x = 5,460,887.24/3,503.95
  6. Step 6: Final answer
    x = 1,558.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.