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Finding the Fourth Proportional to 3,503.87, 5,256.72 and 1,038.75

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Solution

The fourth proportional to 3,503.87, 5,256.72 and 1,038.75 is: 1,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.87 : 5,256.72 = 1,038.75 : x
  2. Step 2: Convert to fraction form
    3,503.87/5,256.72 = 1,038.75/x
  3. Step 3: Cross multiply
    3,503.87x = 5,256.72 × 1,038.75
  4. Step 4: Simplify right side
    3,503.87x = 5,460,417.90
  5. Step 5: Solve for x
    x = 5,460,417.90/3,503.87
  6. Step 6: Final answer
    x = 1,558.40

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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.