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Finding the Fourth Proportional to 3,875.52, 5,347.68 and 2,303.28

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Solution

The fourth proportional to 3,875.52, 5,347.68 and 2,303.28 is: 3,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.52 : 5,347.68 = 2,303.28 : x
  2. Step 2: Convert to fraction form
    3,875.52/5,347.68 = 2,303.28/x
  3. Step 3: Cross multiply
    3,875.52x = 5,347.68 × 2,303.28
  4. Step 4: Simplify right side
    3,875.52x = 12,317,204.39
  5. Step 5: Solve for x
    x = 12,317,204.39/3,875.52
  6. Step 6: Final answer
    x = 3,178.21

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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.