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Finding the Fourth Proportional to 6,386.40, 9,580.59 and 3,264.71

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Solution

The fourth proportional to 6,386.40, 9,580.59 and 3,264.71 is: 4,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.40 : 9,580.59 = 3,264.71 : x
  2. Step 2: Convert to fraction form
    6,386.40/9,580.59 = 3,264.71/x
  3. Step 3: Cross multiply
    6,386.40x = 9,580.59 × 3,264.71
  4. Step 4: Simplify right side
    6,386.40x = 31,277,800.08
  5. Step 5: Solve for x
    x = 31,277,800.08/6,386.40
  6. Step 6: Final answer
    x = 4,897.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.