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Finding the Fourth Proportional to 3,503.12, 5,255.69 and 1,038.00

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Solution

The fourth proportional to 3,503.12, 5,255.69 and 1,038.00 is: 1,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.12 : 5,255.69 = 1,038.00 : x
  2. Step 2: Convert to fraction form
    3,503.12/5,255.69 = 1,038.00/x
  3. Step 3: Cross multiply
    3,503.12x = 5,255.69 × 1,038.00
  4. Step 4: Simplify right side
    3,503.12x = 5,455,386.66
  5. Step 5: Solve for x
    x = 5,455,386.66/3,503.12
  6. Step 6: Final answer
    x = 1,557.29

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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.