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Finding the Fourth Proportional to 5,313.40, 7,339.95 and 4,258.17

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Solution

The fourth proportional to 5,313.40, 7,339.95 and 4,258.17 is: 5,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.40 : 7,339.95 = 4,258.17 : x
  2. Step 2: Convert to fraction form
    5,313.40/7,339.95 = 4,258.17/x
  3. Step 3: Cross multiply
    5,313.40x = 7,339.95 × 4,258.17
  4. Step 4: Simplify right side
    5,313.40x = 31,254,754.89
  5. Step 5: Solve for x
    x = 31,254,754.89/5,313.40
  6. Step 6: Final answer
    x = 5,882.25

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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.