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Finding the Fourth Proportional to 3,501.77, 5,252.65 and 904.50

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Solution

The fourth proportional to 3,501.77, 5,252.65 and 904.50 is: 1,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.77 : 5,252.65 = 904.50 : x
  2. Step 2: Convert to fraction form
    3,501.77/5,252.65 = 904.50/x
  3. Step 3: Cross multiply
    3,501.77x = 5,252.65 × 904.50
  4. Step 4: Simplify right side
    3,501.77x = 4,751,019.66
  5. Step 5: Solve for x
    x = 4,751,019.66/3,501.77
  6. Step 6: Final answer
    x = 1,356.75

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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.