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Finding the Fourth Proportional to 5,952.71, 8,215.55 and 4,534.40

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Solution

The fourth proportional to 5,952.71, 8,215.55 and 4,534.40 is: 6,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.71 : 8,215.55 = 4,534.40 : x
  2. Step 2: Convert to fraction form
    5,952.71/8,215.55 = 4,534.40/x
  3. Step 3: Cross multiply
    5,952.71x = 8,215.55 × 4,534.40
  4. Step 4: Simplify right side
    5,952.71x = 37,252,526.17
  5. Step 5: Solve for x
    x = 37,252,526.17/5,952.71
  6. Step 6: Final answer
    x = 6,258.08

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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.