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Finding the Fourth Proportional to 5,365.06, 8,047.59 and 1,901.50

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Solution

The fourth proportional to 5,365.06, 8,047.59 and 1,901.50 is: 2,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.06 : 8,047.59 = 1,901.50 : x
  2. Step 2: Convert to fraction form
    5,365.06/8,047.59 = 1,901.50/x
  3. Step 3: Cross multiply
    5,365.06x = 8,047.59 × 1,901.50
  4. Step 4: Simplify right side
    5,365.06x = 15,302,492.39
  5. Step 5: Solve for x
    x = 15,302,492.39/5,365.06
  6. Step 6: Final answer
    x = 2,852.25

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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.