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Finding the Fourth Proportional to 4,658.28, 6,985.95 and 1,537.71

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Solution

The fourth proportional to 4,658.28, 6,985.95 and 1,537.71 is: 2,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.28 : 6,985.95 = 1,537.71 : x
  2. Step 2: Convert to fraction form
    4,658.28/6,985.95 = 1,537.71/x
  3. Step 3: Cross multiply
    4,658.28x = 6,985.95 × 1,537.71
  4. Step 4: Simplify right side
    4,658.28x = 10,742,365.17
  5. Step 5: Solve for x
    x = 10,742,365.17/4,658.28
  6. Step 6: Final answer
    x = 2,306.08

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