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Finding the Fourth Proportional to 3,503.76, 5,256.46 and 1,038.66

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Solution

The fourth proportional to 3,503.76, 5,256.46 and 1,038.66 is: 1,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.76 : 5,256.46 = 1,038.66 : x
  2. Step 2: Convert to fraction form
    3,503.76/5,256.46 = 1,038.66/x
  3. Step 3: Cross multiply
    3,503.76x = 5,256.46 × 1,038.66
  4. Step 4: Simplify right side
    3,503.76x = 5,459,674.74
  5. Step 5: Solve for x
    x = 5,459,674.74/3,503.76
  6. Step 6: Final answer
    x = 1,558.23

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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.