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Finding the Fourth Proportional to 3,852.76, 5,316.95 and 2,259.18

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Solution

The fourth proportional to 3,852.76, 5,316.95 and 2,259.18 is: 3,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.76 : 5,316.95 = 2,259.18 : x
  2. Step 2: Convert to fraction form
    3,852.76/5,316.95 = 2,259.18/x
  3. Step 3: Cross multiply
    3,852.76x = 5,316.95 × 2,259.18
  4. Step 4: Simplify right side
    3,852.76x = 12,011,970.28
  5. Step 5: Solve for x
    x = 12,011,970.28/3,852.76
  6. Step 6: Final answer
    x = 3,117.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.